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Finding the Fourth Proportional to 5,655.68, 7,805.22 and 3,138.02

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Solution

The fourth proportional to 5,655.68, 7,805.22 and 3,138.02 is: 4,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.68 : 7,805.22 = 3,138.02 : x
  2. Step 2: Convert to fraction form
    5,655.68/7,805.22 = 3,138.02/x
  3. Step 3: Cross multiply
    5,655.68x = 7,805.22 × 3,138.02
  4. Step 4: Simplify right side
    5,655.68x = 24,492,936.46
  5. Step 5: Solve for x
    x = 24,492,936.46/5,655.68
  6. Step 6: Final answer
    x = 4,330.68

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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.