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Finding the Fourth Proportional to 5,984.74, 8,259.13 and 3,595.14

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Solution

The fourth proportional to 5,984.74, 8,259.13 and 3,595.14 is: 4,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.74 : 8,259.13 = 3,595.14 : x
  2. Step 2: Convert to fraction form
    5,984.74/8,259.13 = 3,595.14/x
  3. Step 3: Cross multiply
    5,984.74x = 8,259.13 × 3,595.14
  4. Step 4: Simplify right side
    5,984.74x = 29,692,733.12
  5. Step 5: Solve for x
    x = 29,692,733.12/5,984.74
  6. Step 6: Final answer
    x = 4,961.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.