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Finding the Fourth Proportional to 4,339.68, 6,513.12 and 2,149.08

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Solution

The fourth proportional to 4,339.68, 6,513.12 and 2,149.08 is: 3,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.68 : 6,513.12 = 2,149.08 : x
  2. Step 2: Convert to fraction form
    4,339.68/6,513.12 = 2,149.08/x
  3. Step 3: Cross multiply
    4,339.68x = 6,513.12 × 2,149.08
  4. Step 4: Simplify right side
    4,339.68x = 13,997,215.93
  5. Step 5: Solve for x
    x = 13,997,215.93/4,339.68
  6. Step 6: Final answer
    x = 3,225.40

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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.