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Finding the Fourth Proportional to 5,459.52, 7,534.12 and 2,975.52

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Solution

The fourth proportional to 5,459.52, 7,534.12 and 2,975.52 is: 4,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.52 : 7,534.12 = 2,975.52 : x
  2. Step 2: Convert to fraction form
    5,459.52/7,534.12 = 2,975.52/x
  3. Step 3: Cross multiply
    5,459.52x = 7,534.12 × 2,975.52
  4. Step 4: Simplify right side
    5,459.52x = 22,417,924.74
  5. Step 5: Solve for x
    x = 22,417,924.74/5,459.52
  6. Step 6: Final answer
    x = 4,106.21

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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.