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Finding the Fourth Proportional to 5,207.68, 7,823.36 and 4,539.52

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Solution

The fourth proportional to 5,207.68, 7,823.36 and 4,539.52 is: 6,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.68 : 7,823.36 = 4,539.52 : x
  2. Step 2: Convert to fraction form
    5,207.68/7,823.36 = 4,539.52/x
  3. Step 3: Cross multiply
    5,207.68x = 7,823.36 × 4,539.52
  4. Step 4: Simplify right side
    5,207.68x = 35,514,299.19
  5. Step 5: Solve for x
    x = 35,514,299.19/5,207.68
  6. Step 6: Final answer
    x = 6,819.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.