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Finding the Fourth Proportional to 6,109.61, 8,432.51 and 3,457.88

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Solution

The fourth proportional to 6,109.61, 8,432.51 and 3,457.88 is: 4,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.61 : 8,432.51 = 3,457.88 : x
  2. Step 2: Convert to fraction form
    6,109.61/8,432.51 = 3,457.88/x
  3. Step 3: Cross multiply
    6,109.61x = 8,432.51 × 3,457.88
  4. Step 4: Simplify right side
    6,109.61x = 29,158,548.23
  5. Step 5: Solve for x
    x = 29,158,548.23/6,109.61
  6. Step 6: Final answer
    x = 4,772.58

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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.