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Finding the Fourth Proportional to 5,646.90, 8,466.14 and 2,355.32

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Solution

The fourth proportional to 5,646.90, 8,466.14 and 2,355.32 is: 3,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.90 : 8,466.14 = 2,355.32 : x
  2. Step 2: Convert to fraction form
    5,646.90/8,466.14 = 2,355.32/x
  3. Step 3: Cross multiply
    5,646.90x = 8,466.14 × 2,355.32
  4. Step 4: Simplify right side
    5,646.90x = 19,940,468.86
  5. Step 5: Solve for x
    x = 19,940,468.86/5,646.90
  6. Step 6: Final answer
    x = 3,531.22

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