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Finding the Fourth Proportional to 5,471.70, 7,545.82 and 4,356.32

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Solution

The fourth proportional to 5,471.70, 7,545.82 and 4,356.32 is: 6,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.70 : 7,545.82 = 4,356.32 : x
  2. Step 2: Convert to fraction form
    5,471.70/7,545.82 = 4,356.32/x
  3. Step 3: Cross multiply
    5,471.70x = 7,545.82 × 4,356.32
  4. Step 4: Simplify right side
    5,471.70x = 32,872,006.58
  5. Step 5: Solve for x
    x = 32,872,006.58/5,471.70
  6. Step 6: Final answer
    x = 6,007.64

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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.