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Finding the Fourth Proportional to 5,459.76, 7,534.17 and 2,975.76

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Solution

The fourth proportional to 5,459.76, 7,534.17 and 2,975.76 is: 4,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.76 : 7,534.17 = 2,975.76 : x
  2. Step 2: Convert to fraction form
    5,459.76/7,534.17 = 2,975.76/x
  3. Step 3: Cross multiply
    5,459.76x = 7,534.17 × 2,975.76
  4. Step 4: Simplify right side
    5,459.76x = 22,419,881.72
  5. Step 5: Solve for x
    x = 22,419,881.72/5,459.76
  6. Step 6: Final answer
    x = 4,106.39

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1.5x scale

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.