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Finding the Fourth Proportional to 5,098.85, 7,648.19 and 1,401.08

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Solution

The fourth proportional to 5,098.85, 7,648.19 and 1,401.08 is: 2,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.85 : 7,648.19 = 1,401.08 : x
  2. Step 2: Convert to fraction form
    5,098.85/7,648.19 = 1,401.08/x
  3. Step 3: Cross multiply
    5,098.85x = 7,648.19 × 1,401.08
  4. Step 4: Simplify right side
    5,098.85x = 10,715,748.67
  5. Step 5: Solve for x
    x = 10,715,748.67/5,098.85
  6. Step 6: Final answer
    x = 2,101.60

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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.