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Finding the Fourth Proportional to 3,438.58, 5,155.62 and 1,358.86

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Solution

The fourth proportional to 3,438.58, 5,155.62 and 1,358.86 is: 2,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.58 : 5,155.62 = 1,358.86 : x
  2. Step 2: Convert to fraction form
    3,438.58/5,155.62 = 1,358.86/x
  3. Step 3: Cross multiply
    3,438.58x = 5,155.62 × 1,358.86
  4. Step 4: Simplify right side
    3,438.58x = 7,005,765.79
  5. Step 5: Solve for x
    x = 7,005,765.79/3,438.58
  6. Step 6: Final answer
    x = 2,037.40

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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.