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Finding the Fourth Proportional to 5,478.48, 8,217.72 and 1,582.88

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Solution

The fourth proportional to 5,478.48, 8,217.72 and 1,582.88 is: 2,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.48 : 8,217.72 = 1,582.88 : x
  2. Step 2: Convert to fraction form
    5,478.48/8,217.72 = 1,582.88/x
  3. Step 3: Cross multiply
    5,478.48x = 8,217.72 × 1,582.88
  4. Step 4: Simplify right side
    5,478.48x = 13,007,664.63
  5. Step 5: Solve for x
    x = 13,007,664.63/5,478.48
  6. Step 6: Final answer
    x = 2,374.32

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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.