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Finding the Fourth Proportional to 4,658.28, 6,438.70 and 4,094.52

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Solution

The fourth proportional to 4,658.28, 6,438.70 and 4,094.52 is: 5,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.28 : 6,438.70 = 4,094.52 : x
  2. Step 2: Convert to fraction form
    4,658.28/6,438.70 = 4,094.52/x
  3. Step 3: Cross multiply
    4,658.28x = 6,438.70 × 4,094.52
  4. Step 4: Simplify right side
    4,658.28x = 26,363,385.92
  5. Step 5: Solve for x
    x = 26,363,385.92/4,658.28
  6. Step 6: Final answer
    x = 5,659.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.