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Finding the Fourth Proportional to 5,901.60, 8,118.96 and 5,737.62

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Solution

The fourth proportional to 5,901.60, 8,118.96 and 5,737.62 is: 7,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.60 : 8,118.96 = 5,737.62 : x
  2. Step 2: Convert to fraction form
    5,901.60/8,118.96 = 5,737.62/x
  3. Step 3: Cross multiply
    5,901.60x = 8,118.96 × 5,737.62
  4. Step 4: Simplify right side
    5,901.60x = 46,583,507.28
  5. Step 5: Solve for x
    x = 46,583,507.28/5,901.60
  6. Step 6: Final answer
    x = 7,893.37

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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.