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Finding the Fourth Proportional to 4,948.68, 6,829.17 and 2,710.69

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Solution

The fourth proportional to 4,948.68, 6,829.17 and 2,710.69 is: 3,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.68 : 6,829.17 = 2,710.69 : x
  2. Step 2: Convert to fraction form
    4,948.68/6,829.17 = 2,710.69/x
  3. Step 3: Cross multiply
    4,948.68x = 6,829.17 × 2,710.69
  4. Step 4: Simplify right side
    4,948.68x = 18,511,762.83
  5. Step 5: Solve for x
    x = 18,511,762.83/4,948.68
  6. Step 6: Final answer
    x = 3,740.75

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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.