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Finding the Fourth Proportional to 3,113.68, 4,652.45 and 2,358.22

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Solution

The fourth proportional to 3,113.68, 4,652.45 and 2,358.22 is: 3,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.68 : 4,652.45 = 2,358.22 : x
  2. Step 2: Convert to fraction form
    3,113.68/4,652.45 = 2,358.22/x
  3. Step 3: Cross multiply
    3,113.68x = 4,652.45 × 2,358.22
  4. Step 4: Simplify right side
    3,113.68x = 10,971,500.64
  5. Step 5: Solve for x
    x = 10,971,500.64/3,113.68
  6. Step 6: Final answer
    x = 3,523.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.