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Finding the Fourth Proportional to 5,347.08, 7,961.76 and 5,288.22

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Solution

The fourth proportional to 5,347.08, 7,961.76 and 5,288.22 is: 7,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.08 : 7,961.76 = 5,288.22 : x
  2. Step 2: Convert to fraction form
    5,347.08/7,961.76 = 5,288.22/x
  3. Step 3: Cross multiply
    5,347.08x = 7,961.76 × 5,288.22
  4. Step 4: Simplify right side
    5,347.08x = 42,103,538.47
  5. Step 5: Solve for x
    x = 42,103,538.47/5,347.08
  6. Step 6: Final answer
    x = 7,874.12

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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.