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Finding the Fourth Proportional to 3,047.42, 4,207.49 and 1,913.57

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Solution

The fourth proportional to 3,047.42, 4,207.49 and 1,913.57 is: 2,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.42 : 4,207.49 = 1,913.57 : x
  2. Step 2: Convert to fraction form
    3,047.42/4,207.49 = 1,913.57/x
  3. Step 3: Cross multiply
    3,047.42x = 4,207.49 × 1,913.57
  4. Step 4: Simplify right side
    3,047.42x = 8,051,353.42
  5. Step 5: Solve for x
    x = 8,051,353.42/3,047.42
  6. Step 6: Final answer
    x = 2,642.02

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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.