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Finding the Fourth Proportional to 2,713.86, 3,745.02 and 1,534.89

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Solution

The fourth proportional to 2,713.86, 3,745.02 and 1,534.89 is: 2,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.86 : 3,745.02 = 1,534.89 : x
  2. Step 2: Convert to fraction form
    2,713.86/3,745.02 = 1,534.89/x
  3. Step 3: Cross multiply
    2,713.86x = 3,745.02 × 1,534.89
  4. Step 4: Simplify right side
    2,713.86x = 5,748,193.75
  5. Step 5: Solve for x
    x = 5,748,193.75/2,713.86
  6. Step 6: Final answer
    x = 2,118.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.