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Finding the Fourth Proportional to 4,099.68, 5,656.08 and 3,155.76

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Solution

The fourth proportional to 4,099.68, 5,656.08 and 3,155.76 is: 4,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.68 : 5,656.08 = 3,155.76 : x
  2. Step 2: Convert to fraction form
    4,099.68/5,656.08 = 3,155.76/x
  3. Step 3: Cross multiply
    4,099.68x = 5,656.08 × 3,155.76
  4. Step 4: Simplify right side
    4,099.68x = 17,849,231.02
  5. Step 5: Solve for x
    x = 17,849,231.02/4,099.68
  6. Step 6: Final answer
    x = 4,353.81

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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.