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Finding the Fourth Proportional to 5,403.78, 7,457.13 and 3,046.41

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Solution

The fourth proportional to 5,403.78, 7,457.13 and 3,046.41 is: 4,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.78 : 7,457.13 = 3,046.41 : x
  2. Step 2: Convert to fraction form
    5,403.78/7,457.13 = 3,046.41/x
  3. Step 3: Cross multiply
    5,403.78x = 7,457.13 × 3,046.41
  4. Step 4: Simplify right side
    5,403.78x = 22,717,475.40
  5. Step 5: Solve for x
    x = 22,717,475.40/5,403.78
  6. Step 6: Final answer
    x = 4,204.00

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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.