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Finding the Fourth Proportional to 5,709.08, 8,567.71 and 3,248.71

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Solution

The fourth proportional to 5,709.08, 8,567.71 and 3,248.71 is: 4,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.08 : 8,567.71 = 3,248.71 : x
  2. Step 2: Convert to fraction form
    5,709.08/8,567.71 = 3,248.71/x
  3. Step 3: Cross multiply
    5,709.08x = 8,567.71 × 3,248.71
  4. Step 4: Simplify right side
    5,709.08x = 27,833,975.61
  5. Step 5: Solve for x
    x = 27,833,975.61/5,709.08
  6. Step 6: Final answer
    x = 4,875.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.