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Finding the Fourth Proportional to 3,402.58, 5,101.53 and 1,527.76

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Solution

The fourth proportional to 3,402.58, 5,101.53 and 1,527.76 is: 2,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.58 : 5,101.53 = 1,527.76 : x
  2. Step 2: Convert to fraction form
    3,402.58/5,101.53 = 1,527.76/x
  3. Step 3: Cross multiply
    3,402.58x = 5,101.53 × 1,527.76
  4. Step 4: Simplify right side
    3,402.58x = 7,793,913.47
  5. Step 5: Solve for x
    x = 7,793,913.47/3,402.58
  6. Step 6: Final answer
    x = 2,290.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.