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Finding the Fourth Proportional to 6,098.60, 8,415.43 and 3,445.50

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Solution

The fourth proportional to 6,098.60, 8,415.43 and 3,445.50 is: 4,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.60 : 8,415.43 = 3,445.50 : x
  2. Step 2: Convert to fraction form
    6,098.60/8,415.43 = 3,445.50/x
  3. Step 3: Cross multiply
    6,098.60x = 8,415.43 × 3,445.50
  4. Step 4: Simplify right side
    6,098.60x = 28,995,339.67
  5. Step 5: Solve for x
    x = 28,995,339.67/6,098.60
  6. Step 6: Final answer
    x = 4,754.42

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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.