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Finding the Fourth Proportional to 5,737.60, 8,606.40 and 4,902.40

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Solution

The fourth proportional to 5,737.60, 8,606.40 and 4,902.40 is: 7,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.60 : 8,606.40 = 4,902.40 : x
  2. Step 2: Convert to fraction form
    5,737.60/8,606.40 = 4,902.40/x
  3. Step 3: Cross multiply
    5,737.60x = 8,606.40 × 4,902.40
  4. Step 4: Simplify right side
    5,737.60x = 42,192,015.36
  5. Step 5: Solve for x
    x = 42,192,015.36/5,737.60
  6. Step 6: Final answer
    x = 7,353.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.