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Finding the Fourth Proportional to 5,135.22, 7,115.88 and 4,823.10

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Solution

The fourth proportional to 5,135.22, 7,115.88 and 4,823.10 is: 6,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.22 : 7,115.88 = 4,823.10 : x
  2. Step 2: Convert to fraction form
    5,135.22/7,115.88 = 4,823.10/x
  3. Step 3: Cross multiply
    5,135.22x = 7,115.88 × 4,823.10
  4. Step 4: Simplify right side
    5,135.22x = 34,320,600.83
  5. Step 5: Solve for x
    x = 34,320,600.83/5,135.22
  6. Step 6: Final answer
    x = 6,683.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.