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Finding the Fourth Proportional to 4,689.90, 7,034.85 and 4,473.90

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Solution

The fourth proportional to 4,689.90, 7,034.85 and 4,473.90 is: 6,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.90 : 7,034.85 = 4,473.90 : x
  2. Step 2: Convert to fraction form
    4,689.90/7,034.85 = 4,473.90/x
  3. Step 3: Cross multiply
    4,689.90x = 7,034.85 × 4,473.90
  4. Step 4: Simplify right side
    4,689.90x = 31,473,215.42
  5. Step 5: Solve for x
    x = 31,473,215.42/4,689.90
  6. Step 6: Final answer
    x = 6,710.85

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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.