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Finding the Fourth Proportional to 5,098.95, 7,647.21 and 1,401.46

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Solution

The fourth proportional to 5,098.95, 7,647.21 and 1,401.46 is: 2,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.95 : 7,647.21 = 1,401.46 : x
  2. Step 2: Convert to fraction form
    5,098.95/7,647.21 = 1,401.46/x
  3. Step 3: Cross multiply
    5,098.95x = 7,647.21 × 1,401.46
  4. Step 4: Simplify right side
    5,098.95x = 10,717,239.81
  5. Step 5: Solve for x
    x = 10,717,239.81/5,098.95
  6. Step 6: Final answer
    x = 2,101.85

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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.