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Finding the Fourth Proportional to 4,338.64, 6,507.96 and 1,416.40

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Solution

The fourth proportional to 4,338.64, 6,507.96 and 1,416.40 is: 2,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.64 : 6,507.96 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    4,338.64/6,507.96 = 1,416.40/x
  3. Step 3: Cross multiply
    4,338.64x = 6,507.96 × 1,416.40
  4. Step 4: Simplify right side
    4,338.64x = 9,217,874.54
  5. Step 5: Solve for x
    x = 9,217,874.54/4,338.64
  6. Step 6: Final answer
    x = 2,124.60

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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.