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Finding the Fourth Proportional to 4,689.39, 7,032.02 and 1,401.87

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Solution

The fourth proportional to 4,689.39, 7,032.02 and 1,401.87 is: 2,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.39 : 7,032.02 = 1,401.87 : x
  2. Step 2: Convert to fraction form
    4,689.39/7,032.02 = 1,401.87/x
  3. Step 3: Cross multiply
    4,689.39x = 7,032.02 × 1,401.87
  4. Step 4: Simplify right side
    4,689.39x = 9,857,997.24
  5. Step 5: Solve for x
    x = 9,857,997.24/4,689.39
  6. Step 6: Final answer
    x = 2,102.19

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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.