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Finding the Fourth Proportional to 6,098.55, 8,415.56 and 3,580.77

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Solution

The fourth proportional to 6,098.55, 8,415.56 and 3,580.77 is: 4,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.55 : 8,415.56 = 3,580.77 : x
  2. Step 2: Convert to fraction form
    6,098.55/8,415.56 = 3,580.77/x
  3. Step 3: Cross multiply
    6,098.55x = 8,415.56 × 3,580.77
  4. Step 4: Simplify right side
    6,098.55x = 30,134,193.73
  5. Step 5: Solve for x
    x = 30,134,193.73/6,098.55
  6. Step 6: Final answer
    x = 4,941.21

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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.