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Finding the Fourth Proportional to 4,335.06, 6,502.77 and 1,413.39

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Solution

The fourth proportional to 4,335.06, 6,502.77 and 1,413.39 is: 2,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.06 : 6,502.77 = 1,413.39 : x
  2. Step 2: Convert to fraction form
    4,335.06/6,502.77 = 1,413.39/x
  3. Step 3: Cross multiply
    4,335.06x = 6,502.77 × 1,413.39
  4. Step 4: Simplify right side
    4,335.06x = 9,190,950.09
  5. Step 5: Solve for x
    x = 9,190,950.09/4,335.06
  6. Step 6: Final answer
    x = 2,120.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.