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Finding the Fourth Proportional to 6,438.40, 9,658.08 and 2,740.24

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Solution

The fourth proportional to 6,438.40, 9,658.08 and 2,740.24 is: 4,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.40 : 9,658.08 = 2,740.24 : x
  2. Step 2: Convert to fraction form
    6,438.40/9,658.08 = 2,740.24/x
  3. Step 3: Cross multiply
    6,438.40x = 9,658.08 × 2,740.24
  4. Step 4: Simplify right side
    6,438.40x = 26,465,457.14
  5. Step 5: Solve for x
    x = 26,465,457.14/6,438.40
  6. Step 6: Final answer
    x = 4,110.56

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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.