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Finding the Fourth Proportional to 5,430.66, 7,497.68 and 4,169.31

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Solution

The fourth proportional to 5,430.66, 7,497.68 and 4,169.31 is: 5,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.66 : 7,497.68 = 4,169.31 : x
  2. Step 2: Convert to fraction form
    5,430.66/7,497.68 = 4,169.31/x
  3. Step 3: Cross multiply
    5,430.66x = 7,497.68 × 4,169.31
  4. Step 4: Simplify right side
    5,430.66x = 31,260,152.20
  5. Step 5: Solve for x
    x = 31,260,152.20/5,430.66
  6. Step 6: Final answer
    x = 5,756.23

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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.