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Finding the Fourth Proportional to 6,518.24, 8,985.84 and 4,652

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Solution

The fourth proportional to 6,518.24, 8,985.84 and 4,652 is: 6,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.24 : 8,985.84 = 4,652 : x
  2. Step 2: Convert to fraction form
    6,518.24/8,985.84 = 4,652/x
  3. Step 3: Cross multiply
    6,518.24x = 8,985.84 × 4,652
  4. Step 4: Simplify right side
    6,518.24x = 41,802,127.68
  5. Step 5: Solve for x
    x = 41,802,127.68/6,518.24
  6. Step 6: Final answer
    x = 6,413.10

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