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Finding the Fourth Proportional to 5,486,978.80, 7,554,755.44 and 4,658,413.52

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Solution

The fourth proportional to 5,486,978.80, 7,554,755.44 and 4,658,413.52 is: 6,413,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486,978.80 : 7,554,755.44 = 4,658,413.52 : x
  2. Step 2: Convert to fraction form
    5,486,978.80/7,554,755.44 = 4,658,413.52/x
  3. Step 3: Cross multiply
    5,486,978.80x = 7,554,755.44 × 4,658,413.52
  4. Step 4: Simplify right side
    5,486,978.80x = 35,193,174,881,989.55
  5. Step 5: Solve for x
    x = 35,193,174,881,989.55/5,486,978.80
  6. Step 6: Final answer
    x = 6,413,944.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.