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Finding the Fourth Proportional to 3,508.34, 5,262.72 and 1,561.88

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Solution

The fourth proportional to 3,508.34, 5,262.72 and 1,561.88 is: 2,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.34 : 5,262.72 = 1,561.88 : x
  2. Step 2: Convert to fraction form
    3,508.34/5,262.72 = 1,561.88/x
  3. Step 3: Cross multiply
    3,508.34x = 5,262.72 × 1,561.88
  4. Step 4: Simplify right side
    3,508.34x = 8,219,737.11
  5. Step 5: Solve for x
    x = 8,219,737.11/3,508.34
  6. Step 6: Final answer
    x = 2,342.91

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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.