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Finding the Fourth Proportional to 4,689.67, 7,034.55 and 1,402.90

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Solution

The fourth proportional to 4,689.67, 7,034.55 and 1,402.90 is: 2,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.67 : 7,034.55 = 1,402.90 : x
  2. Step 2: Convert to fraction form
    4,689.67/7,034.55 = 1,402.90/x
  3. Step 3: Cross multiply
    4,689.67x = 7,034.55 × 1,402.90
  4. Step 4: Simplify right side
    4,689.67x = 9,868,770.20
  5. Step 5: Solve for x
    x = 9,868,770.20/4,689.67
  6. Step 6: Final answer
    x = 2,104.36

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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.