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Finding the Fourth Proportional to 4,871.63, 7,301.25 and 3,115.95

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Solution

The fourth proportional to 4,871.63, 7,301.25 and 3,115.95 is: 4,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.63 : 7,301.25 = 3,115.95 : x
  2. Step 2: Convert to fraction form
    4,871.63/7,301.25 = 3,115.95/x
  3. Step 3: Cross multiply
    4,871.63x = 7,301.25 × 3,115.95
  4. Step 4: Simplify right side
    4,871.63x = 22,750,329.94
  5. Step 5: Solve for x
    x = 22,750,329.94/4,871.63
  6. Step 6: Final answer
    x = 4,669.97

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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.