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Finding the Fourth Proportional to 5,098.95, 7,646.95 and 1,401.30

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Solution

The fourth proportional to 5,098.95, 7,646.95 and 1,401.30 is: 2,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.95 : 7,646.95 = 1,401.30 : x
  2. Step 2: Convert to fraction form
    5,098.95/7,646.95 = 1,401.30/x
  3. Step 3: Cross multiply
    5,098.95x = 7,646.95 × 1,401.30
  4. Step 4: Simplify right side
    5,098.95x = 10,715,625.79
  5. Step 5: Solve for x
    x = 10,715,625.79/5,098.95
  6. Step 6: Final answer
    x = 2,101.54

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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.