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Finding the Fourth Proportional to 5,098.95, 7,648.46 and 1,401.57

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Solution

The fourth proportional to 5,098.95, 7,648.46 and 1,401.57 is: 2,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.95 : 7,648.46 = 1,401.57 : x
  2. Step 2: Convert to fraction form
    5,098.95/7,648.46 = 1,401.57/x
  3. Step 3: Cross multiply
    5,098.95x = 7,648.46 × 1,401.57
  4. Step 4: Simplify right side
    5,098.95x = 10,719,852.08
  5. Step 5: Solve for x
    x = 10,719,852.08/5,098.95
  6. Step 6: Final answer
    x = 2,102.36

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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.