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Finding the Fourth Proportional to 6,085.34, 8,397.87 and 3,567.78

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Solution

The fourth proportional to 6,085.34, 8,397.87 and 3,567.78 is: 4,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.34 : 8,397.87 = 3,567.78 : x
  2. Step 2: Convert to fraction form
    6,085.34/8,397.87 = 3,567.78/x
  3. Step 3: Cross multiply
    6,085.34x = 8,397.87 × 3,567.78
  4. Step 4: Simplify right side
    6,085.34x = 29,961,752.63
  5. Step 5: Solve for x
    x = 29,961,752.63/6,085.34
  6. Step 6: Final answer
    x = 4,923.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.