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Finding the Fourth Proportional to 4,059, 5,601.42 and 2,290.57

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Solution

The fourth proportional to 4,059, 5,601.42 and 2,290.57 is: 3,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 5,601.42 = 2,290.57 : x
  2. Step 2: Convert to fraction form
    4,059/5,601.42 = 2,290.57/x
  3. Step 3: Cross multiply
    4,059x = 5,601.42 × 2,290.57
  4. Step 4: Simplify right side
    4,059x = 12,830,430.61
  5. Step 5: Solve for x
    x = 12,830,430.61/4,059
  6. Step 6: Final answer
    x = 3,160.98

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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.