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Finding the Fourth Proportional to 5,095.32, 7,031.57 and 2,972.32

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Solution

The fourth proportional to 5,095.32, 7,031.57 and 2,972.32 is: 4,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.32 : 7,031.57 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    5,095.32/7,031.57 = 2,972.32/x
  3. Step 3: Cross multiply
    5,095.32x = 7,031.57 × 2,972.32
  4. Step 4: Simplify right side
    5,095.32x = 20,900,076.14
  5. Step 5: Solve for x
    x = 20,900,076.14/5,095.32
  6. Step 6: Final answer
    x = 4,101.82

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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.