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Finding the Fourth Proportional to 3,648.71, 5,473.16 and 1,427.45

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Solution

The fourth proportional to 3,648.71, 5,473.16 and 1,427.45 is: 2,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.71 : 5,473.16 = 1,427.45 : x
  2. Step 2: Convert to fraction form
    3,648.71/5,473.16 = 1,427.45/x
  3. Step 3: Cross multiply
    3,648.71x = 5,473.16 × 1,427.45
  4. Step 4: Simplify right side
    3,648.71x = 7,812,638.44
  5. Step 5: Solve for x
    x = 7,812,638.44/3,648.71
  6. Step 6: Final answer
    x = 2,141.21

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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.