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Finding the Fourth Proportional to 5,098.81, 7,648.19 and 1,401.04

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Solution

The fourth proportional to 5,098.81, 7,648.19 and 1,401.04 is: 2,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.81 : 7,648.19 = 1,401.04 : x
  2. Step 2: Convert to fraction form
    5,098.81/7,648.19 = 1,401.04/x
  3. Step 3: Cross multiply
    5,098.81x = 7,648.19 × 1,401.04
  4. Step 4: Simplify right side
    5,098.81x = 10,715,420.12
  5. Step 5: Solve for x
    x = 10,715,420.12/5,098.81
  6. Step 6: Final answer
    x = 2,101.55

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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.