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Finding the Fourth Proportional to 5,423.67, 7,483.15 and 3,407.31

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Solution

The fourth proportional to 5,423.67, 7,483.15 and 3,407.31 is: 4,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.67 : 7,483.15 = 3,407.31 : x
  2. Step 2: Convert to fraction form
    5,423.67/7,483.15 = 3,407.31/x
  3. Step 3: Cross multiply
    5,423.67x = 7,483.15 × 3,407.31
  4. Step 4: Simplify right side
    5,423.67x = 25,497,411.83
  5. Step 5: Solve for x
    x = 25,497,411.83/5,423.67
  6. Step 6: Final answer
    x = 4,701.14

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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.