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Finding the Fourth Proportional to 4,689.77, 6,471.66 and 2,699.90

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Solution

The fourth proportional to 4,689.77, 6,471.66 and 2,699.90 is: 3,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.77 : 6,471.66 = 2,699.90 : x
  2. Step 2: Convert to fraction form
    4,689.77/6,471.66 = 2,699.90/x
  3. Step 3: Cross multiply
    4,689.77x = 6,471.66 × 2,699.90
  4. Step 4: Simplify right side
    4,689.77x = 17,472,802.48
  5. Step 5: Solve for x
    x = 17,472,802.48/4,689.77
  6. Step 6: Final answer
    x = 3,725.73

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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.