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Finding the Fourth Proportional to 3,705.68, 5,559.68 and 2,317.10

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Solution

The fourth proportional to 3,705.68, 5,559.68 and 2,317.10 is: 3,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.68 : 5,559.68 = 2,317.10 : x
  2. Step 2: Convert to fraction form
    3,705.68/5,559.68 = 2,317.10/x
  3. Step 3: Cross multiply
    3,705.68x = 5,559.68 × 2,317.10
  4. Step 4: Simplify right side
    3,705.68x = 12,882,312.52
  5. Step 5: Solve for x
    x = 12,882,312.52/3,705.68
  6. Step 6: Final answer
    x = 3,476.37

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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.