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Finding the Fourth Proportional to 4,677.72, 6,455.16 and 2,689.50

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Solution

The fourth proportional to 4,677.72, 6,455.16 and 2,689.50 is: 3,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.72 : 6,455.16 = 2,689.50 : x
  2. Step 2: Convert to fraction form
    4,677.72/6,455.16 = 2,689.50/x
  3. Step 3: Cross multiply
    4,677.72x = 6,455.16 × 2,689.50
  4. Step 4: Simplify right side
    4,677.72x = 17,361,152.82
  5. Step 5: Solve for x
    x = 17,361,152.82/4,677.72
  6. Step 6: Final answer
    x = 3,711.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.