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Finding the Fourth Proportional to 5,685.52, 7,835.52 and 4,110.88

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Solution

The fourth proportional to 5,685.52, 7,835.52 and 4,110.88 is: 5,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.52 : 7,835.52 = 4,110.88 : x
  2. Step 2: Convert to fraction form
    5,685.52/7,835.52 = 4,110.88/x
  3. Step 3: Cross multiply
    5,685.52x = 7,835.52 × 4,110.88
  4. Step 4: Simplify right side
    5,685.52x = 32,210,882.46
  5. Step 5: Solve for x
    x = 32,210,882.46/5,685.52
  6. Step 6: Final answer
    x = 5,665.42

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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.