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Finding the Fourth Proportional to 5,491.72, 7,569.96 and 4,160.08

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Solution

The fourth proportional to 5,491.72, 7,569.96 and 4,160.08 is: 5,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.72 : 7,569.96 = 4,160.08 : x
  2. Step 2: Convert to fraction form
    5,491.72/7,569.96 = 4,160.08/x
  3. Step 3: Cross multiply
    5,491.72x = 7,569.96 × 4,160.08
  4. Step 4: Simplify right side
    5,491.72x = 31,491,639.20
  5. Step 5: Solve for x
    x = 31,491,639.20/5,491.72
  6. Step 6: Final answer
    x = 5,734.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.