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Finding the Fourth Proportional to 3,572.84, 5,359.80 and 1,264.16

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Solution

The fourth proportional to 3,572.84, 5,359.80 and 1,264.16 is: 1,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.84 : 5,359.80 = 1,264.16 : x
  2. Step 2: Convert to fraction form
    3,572.84/5,359.80 = 1,264.16/x
  3. Step 3: Cross multiply
    3,572.84x = 5,359.80 × 1,264.16
  4. Step 4: Simplify right side
    3,572.84x = 6,775,644.77
  5. Step 5: Solve for x
    x = 6,775,644.77/3,572.84
  6. Step 6: Final answer
    x = 1,896.43

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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.