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Finding the Fourth Proportional to 5,689.52, 7,843.04 and 4,492.48

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Solution

The fourth proportional to 5,689.52, 7,843.04 and 4,492.48 is: 6,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.52 : 7,843.04 = 4,492.48 : x
  2. Step 2: Convert to fraction form
    5,689.52/7,843.04 = 4,492.48/x
  3. Step 3: Cross multiply
    5,689.52x = 7,843.04 × 4,492.48
  4. Step 4: Simplify right side
    5,689.52x = 35,234,700.34
  5. Step 5: Solve for x
    x = 35,234,700.34/5,689.52
  6. Step 6: Final answer
    x = 6,192.91

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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.