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Finding the Fourth Proportional to 3,538.56, 4,882.32 and 2,358.84

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Solution

The fourth proportional to 3,538.56, 4,882.32 and 2,358.84 is: 3,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.56 : 4,882.32 = 2,358.84 : x
  2. Step 2: Convert to fraction form
    3,538.56/4,882.32 = 2,358.84/x
  3. Step 3: Cross multiply
    3,538.56x = 4,882.32 × 2,358.84
  4. Step 4: Simplify right side
    3,538.56x = 11,516,611.71
  5. Step 5: Solve for x
    x = 11,516,611.71/3,538.56
  6. Step 6: Final answer
    x = 3,254.60

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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.