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Finding the Fourth Proportional to 5,876.24, 8,803.08 and 3,648.47

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Solution

The fourth proportional to 5,876.24, 8,803.08 and 3,648.47 is: 5,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.24 : 8,803.08 = 3,648.47 : x
  2. Step 2: Convert to fraction form
    5,876.24/8,803.08 = 3,648.47/x
  3. Step 3: Cross multiply
    5,876.24x = 8,803.08 × 3,648.47
  4. Step 4: Simplify right side
    5,876.24x = 32,117,729.27
  5. Step 5: Solve for x
    x = 32,117,729.27/5,876.24
  6. Step 6: Final answer
    x = 5,465.70

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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.