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Finding the Fourth Proportional to 5,531.76, 8,283.88 and 3,216.24

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Solution

The fourth proportional to 5,531.76, 8,283.88 and 3,216.24 is: 4,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.76 : 8,283.88 = 3,216.24 : x
  2. Step 2: Convert to fraction form
    5,531.76/8,283.88 = 3,216.24/x
  3. Step 3: Cross multiply
    5,531.76x = 8,283.88 × 3,216.24
  4. Step 4: Simplify right side
    5,531.76x = 26,642,946.21
  5. Step 5: Solve for x
    x = 26,642,946.21/5,531.76
  6. Step 6: Final answer
    x = 4,816.36

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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.