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Finding the Fourth Proportional to 5,737.40, 8,586.90 and 4,009.40

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Solution

The fourth proportional to 5,737.40, 8,586.90 and 4,009.40 is: 6,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.40 : 8,586.90 = 4,009.40 : x
  2. Step 2: Convert to fraction form
    5,737.40/8,586.90 = 4,009.40/x
  3. Step 3: Cross multiply
    5,737.40x = 8,586.90 × 4,009.40
  4. Step 4: Simplify right side
    5,737.40x = 34,428,316.86
  5. Step 5: Solve for x
    x = 34,428,316.86/5,737.40
  6. Step 6: Final answer
    x = 6,000.68

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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.