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Finding the Fourth Proportional to 2,715.90, 4,071.53 and 2,586.72

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Solution

The fourth proportional to 2,715.90, 4,071.53 and 2,586.72 is: 3,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.90 : 4,071.53 = 2,586.72 : x
  2. Step 2: Convert to fraction form
    2,715.90/4,071.53 = 2,586.72/x
  3. Step 3: Cross multiply
    2,715.90x = 4,071.53 × 2,586.72
  4. Step 4: Simplify right side
    2,715.90x = 10,531,895.15
  5. Step 5: Solve for x
    x = 10,531,895.15/2,715.90
  6. Step 6: Final answer
    x = 3,877.87

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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.