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Finding the Fourth Proportional to 4,153.06, 5,731.41 and 2,290.06

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Solution

The fourth proportional to 4,153.06, 5,731.41 and 2,290.06 is: 3,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.06 : 5,731.41 = 2,290.06 : x
  2. Step 2: Convert to fraction form
    4,153.06/5,731.41 = 2,290.06/x
  3. Step 3: Cross multiply
    4,153.06x = 5,731.41 × 2,290.06
  4. Step 4: Simplify right side
    4,153.06x = 13,125,272.78
  5. Step 5: Solve for x
    x = 13,125,272.78/4,153.06
  6. Step 6: Final answer
    x = 3,160.39

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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.