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Finding the Fourth Proportional to 3,985.84, 5,978.76 and 1,899.52

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Solution

The fourth proportional to 3,985.84, 5,978.76 and 1,899.52 is: 2,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.84 : 5,978.76 = 1,899.52 : x
  2. Step 2: Convert to fraction form
    3,985.84/5,978.76 = 1,899.52/x
  3. Step 3: Cross multiply
    3,985.84x = 5,978.76 × 1,899.52
  4. Step 4: Simplify right side
    3,985.84x = 11,356,774.20
  5. Step 5: Solve for x
    x = 11,356,774.20/3,985.84
  6. Step 6: Final answer
    x = 2,849.28

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Similar ratio
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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.