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Finding the Fourth Proportional to 5,697.61, 8,532.74 and 4,046.42

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Solution

The fourth proportional to 5,697.61, 8,532.74 and 4,046.42 is: 6,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.61 : 8,532.74 = 4,046.42 : x
  2. Step 2: Convert to fraction form
    5,697.61/8,532.74 = 4,046.42/x
  3. Step 3: Cross multiply
    5,697.61x = 8,532.74 × 4,046.42
  4. Step 4: Simplify right side
    5,697.61x = 34,527,081.24
  5. Step 5: Solve for x
    x = 34,527,081.24/5,697.61
  6. Step 6: Final answer
    x = 6,059.93

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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.