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Finding the Fourth Proportional to 4,648.02, 6,414.18 and 2,658.72

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Solution

The fourth proportional to 4,648.02, 6,414.18 and 2,658.72 is: 3,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.02 : 6,414.18 = 2,658.72 : x
  2. Step 2: Convert to fraction form
    4,648.02/6,414.18 = 2,658.72/x
  3. Step 3: Cross multiply
    4,648.02x = 6,414.18 × 2,658.72
  4. Step 4: Simplify right side
    4,648.02x = 17,053,508.65
  5. Step 5: Solve for x
    x = 17,053,508.65/4,648.02
  6. Step 6: Final answer
    x = 3,668.98

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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.