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Finding the Fourth Proportional to 3,527.76, 4,867.56 and 2,393.82

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Solution

The fourth proportional to 3,527.76, 4,867.56 and 2,393.82 is: 3,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.76 : 4,867.56 = 2,393.82 : x
  2. Step 2: Convert to fraction form
    3,527.76/4,867.56 = 2,393.82/x
  3. Step 3: Cross multiply
    3,527.76x = 4,867.56 × 2,393.82
  4. Step 4: Simplify right side
    3,527.76x = 11,652,062.48
  5. Step 5: Solve for x
    x = 11,652,062.48/3,527.76
  6. Step 6: Final answer
    x = 3,302.96

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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.