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Finding the Fourth Proportional to 3,585.21, 4,947.54 and 1,991.87

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Solution

The fourth proportional to 3,585.21, 4,947.54 and 1,991.87 is: 2,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.21 : 4,947.54 = 1,991.87 : x
  2. Step 2: Convert to fraction form
    3,585.21/4,947.54 = 1,991.87/x
  3. Step 3: Cross multiply
    3,585.21x = 4,947.54 × 1,991.87
  4. Step 4: Simplify right side
    3,585.21x = 9,854,831.76
  5. Step 5: Solve for x
    x = 9,854,831.76/3,585.21
  6. Step 6: Final answer
    x = 2,748.75

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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.