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Finding the Fourth Proportional to 5,638.61, 8,455.25 and 1,688.35

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Solution

The fourth proportional to 5,638.61, 8,455.25 and 1,688.35 is: 2,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.61 : 8,455.25 = 1,688.35 : x
  2. Step 2: Convert to fraction form
    5,638.61/8,455.25 = 1,688.35/x
  3. Step 3: Cross multiply
    5,638.61x = 8,455.25 × 1,688.35
  4. Step 4: Simplify right side
    5,638.61x = 14,275,370.62
  5. Step 5: Solve for x
    x = 14,275,370.62/5,638.61
  6. Step 6: Final answer
    x = 2,531.72

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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.