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Finding the Fourth Proportional to 5,404.16, 7,457.74 and 3,046.32

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Solution

The fourth proportional to 5,404.16, 7,457.74 and 3,046.32 is: 4,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.16 : 7,457.74 = 3,046.32 : x
  2. Step 2: Convert to fraction form
    5,404.16/7,457.74 = 3,046.32/x
  3. Step 3: Cross multiply
    5,404.16x = 7,457.74 × 3,046.32
  4. Step 4: Simplify right side
    5,404.16x = 22,718,654.90
  5. Step 5: Solve for x
    x = 22,718,654.90/5,404.16
  6. Step 6: Final answer
    x = 4,203.92

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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.