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Finding the Fourth Proportional to 3,868.02, 5,801.96 and 946.35

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Solution

The fourth proportional to 3,868.02, 5,801.96 and 946.35 is: 1,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.02 : 5,801.96 = 946.35 : x
  2. Step 2: Convert to fraction form
    3,868.02/5,801.96 = 946.35/x
  3. Step 3: Cross multiply
    3,868.02x = 5,801.96 × 946.35
  4. Step 4: Simplify right side
    3,868.02x = 5,490,687.21
  5. Step 5: Solve for x
    x = 5,490,687.21/3,868.02
  6. Step 6: Final answer
    x = 1,419.51

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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.