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Finding the Fourth Proportional to 5,772.32, 8,658.49 and 4,458

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Solution

The fourth proportional to 5,772.32, 8,658.49 and 4,458 is: 6,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.32 : 8,658.49 = 4,458 : x
  2. Step 2: Convert to fraction form
    5,772.32/8,658.49 = 4,458/x
  3. Step 3: Cross multiply
    5,772.32x = 8,658.49 × 4,458
  4. Step 4: Simplify right side
    5,772.32x = 38,599,548.42
  5. Step 5: Solve for x
    x = 38,599,548.42/5,772.32
  6. Step 6: Final answer
    x = 6,687.01

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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.