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Finding the Fourth Proportional to 4,689.90, 7,034.38 and 1,402.99

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Solution

The fourth proportional to 4,689.90, 7,034.38 and 1,402.99 is: 2,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.90 : 7,034.38 = 1,402.99 : x
  2. Step 2: Convert to fraction form
    4,689.90/7,034.38 = 1,402.99/x
  3. Step 3: Cross multiply
    4,689.90x = 7,034.38 × 1,402.99
  4. Step 4: Simplify right side
    4,689.90x = 9,869,143.70
  5. Step 5: Solve for x
    x = 9,869,143.70/4,689.90
  6. Step 6: Final answer
    x = 2,104.34

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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.