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Finding the Fourth Proportional to 4,948.77, 6,829.40 and 2,710.63

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Solution

The fourth proportional to 4,948.77, 6,829.40 and 2,710.63 is: 3,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.77 : 6,829.40 = 2,710.63 : x
  2. Step 2: Convert to fraction form
    4,948.77/6,829.40 = 2,710.63/x
  3. Step 3: Cross multiply
    4,948.77x = 6,829.40 × 2,710.63
  4. Step 4: Simplify right side
    4,948.77x = 18,511,966.23
  5. Step 5: Solve for x
    x = 18,511,966.23/4,948.77
  6. Step 6: Final answer
    x = 3,740.72

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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.