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Finding the Fourth Proportional to 3,558.76, 4,911.12 and 1,987

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Solution

The fourth proportional to 3,558.76, 4,911.12 and 1,987 is: 2,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.76 : 4,911.12 = 1,987 : x
  2. Step 2: Convert to fraction form
    3,558.76/4,911.12 = 1,987/x
  3. Step 3: Cross multiply
    3,558.76x = 4,911.12 × 1,987
  4. Step 4: Simplify right side
    3,558.76x = 9,758,395.44
  5. Step 5: Solve for x
    x = 9,758,395.44/3,558.76
  6. Step 6: Final answer
    x = 2,742.08

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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.