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Finding the Fourth Proportional to 5,223.52, 7,832.76 and 3,032.80

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Solution

The fourth proportional to 5,223.52, 7,832.76 and 3,032.80 is: 4,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.52 : 7,832.76 = 3,032.80 : x
  2. Step 2: Convert to fraction form
    5,223.52/7,832.76 = 3,032.80/x
  3. Step 3: Cross multiply
    5,223.52x = 7,832.76 × 3,032.80
  4. Step 4: Simplify right side
    5,223.52x = 23,755,194.53
  5. Step 5: Solve for x
    x = 23,755,194.53/5,223.52
  6. Step 6: Final answer
    x = 4,547.74

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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.