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Finding the Fourth Proportional to 5,899.66, 8,851.92 and 5,309.17

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Solution

The fourth proportional to 5,899.66, 8,851.92 and 5,309.17 is: 7,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.66 : 8,851.92 = 5,309.17 : x
  2. Step 2: Convert to fraction form
    5,899.66/8,851.92 = 5,309.17/x
  3. Step 3: Cross multiply
    5,899.66x = 8,851.92 × 5,309.17
  4. Step 4: Simplify right side
    5,899.66x = 46,996,277.30
  5. Step 5: Solve for x
    x = 46,996,277.30/5,899.66
  6. Step 6: Final answer
    x = 7,965.94

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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.