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Finding the Fourth Proportional to 3,116.84, 4,681.02 and 2,471.72

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Solution

The fourth proportional to 3,116.84, 4,681.02 and 2,471.72 is: 3,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.84 : 4,681.02 = 2,471.72 : x
  2. Step 2: Convert to fraction form
    3,116.84/4,681.02 = 2,471.72/x
  3. Step 3: Cross multiply
    3,116.84x = 4,681.02 × 2,471.72
  4. Step 4: Simplify right side
    3,116.84x = 11,570,170.75
  5. Step 5: Solve for x
    x = 11,570,170.75/3,116.84
  6. Step 6: Final answer
    x = 3,712.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.