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Finding the Fourth Proportional to 4,658.10, 6,416.16 and 3,815.70

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Solution

The fourth proportional to 4,658.10, 6,416.16 and 3,815.70 is: 5,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.10 : 6,416.16 = 3,815.70 : x
  2. Step 2: Convert to fraction form
    4,658.10/6,416.16 = 3,815.70/x
  3. Step 3: Cross multiply
    4,658.10x = 6,416.16 × 3,815.70
  4. Step 4: Simplify right side
    4,658.10x = 24,482,141.71
  5. Step 5: Solve for x
    x = 24,482,141.71/4,658.10
  6. Step 6: Final answer
    x = 5,255.82

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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.