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Finding the Fourth Proportional to 5,503.47, 8,258.18 and 5,205.79

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Solution

The fourth proportional to 5,503.47, 8,258.18 and 5,205.79 is: 7,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.47 : 8,258.18 = 5,205.79 : x
  2. Step 2: Convert to fraction form
    5,503.47/8,258.18 = 5,205.79/x
  3. Step 3: Cross multiply
    5,503.47x = 8,258.18 × 5,205.79
  4. Step 4: Simplify right side
    5,503.47x = 42,990,350.86
  5. Step 5: Solve for x
    x = 42,990,350.86/5,503.47
  6. Step 6: Final answer
    x = 7,811.50

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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.