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Finding the Fourth Proportional to 5,404.26, 7,461.32 and 4,411.90

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Solution

The fourth proportional to 5,404.26, 7,461.32 and 4,411.90 is: 6,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.26 : 7,461.32 = 4,411.90 : x
  2. Step 2: Convert to fraction form
    5,404.26/7,461.32 = 4,411.90/x
  3. Step 3: Cross multiply
    5,404.26x = 7,461.32 × 4,411.90
  4. Step 4: Simplify right side
    5,404.26x = 32,918,597.71
  5. Step 5: Solve for x
    x = 32,918,597.71/5,404.26
  6. Step 6: Final answer
    x = 6,091.23

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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.