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Finding the Fourth Proportional to 5,243.76, 7,821.88 and 4,468.59

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Solution

The fourth proportional to 5,243.76, 7,821.88 and 4,468.59 is: 6,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.76 : 7,821.88 = 4,468.59 : x
  2. Step 2: Convert to fraction form
    5,243.76/7,821.88 = 4,468.59/x
  3. Step 3: Cross multiply
    5,243.76x = 7,821.88 × 4,468.59
  4. Step 4: Simplify right side
    5,243.76x = 34,952,763.58
  5. Step 5: Solve for x
    x = 34,952,763.58/5,243.76
  6. Step 6: Final answer
    x = 6,665.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.