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Finding the Fourth Proportional to 4,671.17, 6,446.22 and 2,681.69

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Solution

The fourth proportional to 4,671.17, 6,446.22 and 2,681.69 is: 3,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.17 : 6,446.22 = 2,681.69 : x
  2. Step 2: Convert to fraction form
    4,671.17/6,446.22 = 2,681.69/x
  3. Step 3: Cross multiply
    4,671.17x = 6,446.22 × 2,681.69
  4. Step 4: Simplify right side
    4,671.17x = 17,286,763.71
  5. Step 5: Solve for x
    x = 17,286,763.71/4,671.17
  6. Step 6: Final answer
    x = 3,700.74

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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.