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Finding the Fourth Proportional to 4,715.70, 6,507.63 and 2,591.22

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Solution

The fourth proportional to 4,715.70, 6,507.63 and 2,591.22 is: 3,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.70 : 6,507.63 = 2,591.22 : x
  2. Step 2: Convert to fraction form
    4,715.70/6,507.63 = 2,591.22/x
  3. Step 3: Cross multiply
    4,715.70x = 6,507.63 × 2,591.22
  4. Step 4: Simplify right side
    4,715.70x = 16,862,701.01
  5. Step 5: Solve for x
    x = 16,862,701.01/4,715.70
  6. Step 6: Final answer
    x = 3,575.86

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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.