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Finding the Fourth Proportional to 6,457.59, 9,688.74 and 3,989.58

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Solution

The fourth proportional to 6,457.59, 9,688.74 and 3,989.58 is: 5,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.59 : 9,688.74 = 3,989.58 : x
  2. Step 2: Convert to fraction form
    6,457.59/9,688.74 = 3,989.58/x
  3. Step 3: Cross multiply
    6,457.59x = 9,688.74 × 3,989.58
  4. Step 4: Simplify right side
    6,457.59x = 38,654,003.33
  5. Step 5: Solve for x
    x = 38,654,003.33/6,457.59
  6. Step 6: Final answer
    x = 5,985.82

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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.