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Finding the Fourth Proportional to 5,098.60, 7,647.90 and 1,401.22

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Solution

The fourth proportional to 5,098.60, 7,647.90 and 1,401.22 is: 2,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.60 : 7,647.90 = 1,401.22 : x
  2. Step 2: Convert to fraction form
    5,098.60/7,647.90 = 1,401.22/x
  3. Step 3: Cross multiply
    5,098.60x = 7,647.90 × 1,401.22
  4. Step 4: Simplify right side
    5,098.60x = 10,716,345.19
  5. Step 5: Solve for x
    x = 10,716,345.19/5,098.60
  6. Step 6: Final answer
    x = 2,101.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.