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Finding the Fourth Proportional to 3,565.34, 5,348.02 and 2,262.86

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Solution

The fourth proportional to 3,565.34, 5,348.02 and 2,262.86 is: 3,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.34 : 5,348.02 = 2,262.86 : x
  2. Step 2: Convert to fraction form
    3,565.34/5,348.02 = 2,262.86/x
  3. Step 3: Cross multiply
    3,565.34x = 5,348.02 × 2,262.86
  4. Step 4: Simplify right side
    3,565.34x = 12,101,820.54
  5. Step 5: Solve for x
    x = 12,101,820.54/3,565.34
  6. Step 6: Final answer
    x = 3,394.30

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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.