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Finding the Fourth Proportional to 4,058.64, 5,600.88 and 2,290.20

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Solution

The fourth proportional to 4,058.64, 5,600.88 and 2,290.20 is: 3,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.64 : 5,600.88 = 2,290.20 : x
  2. Step 2: Convert to fraction form
    4,058.64/5,600.88 = 2,290.20/x
  3. Step 3: Cross multiply
    4,058.64x = 5,600.88 × 2,290.20
  4. Step 4: Simplify right side
    4,058.64x = 12,827,135.38
  5. Step 5: Solve for x
    x = 12,827,135.38/4,058.64
  6. Step 6: Final answer
    x = 3,160.45

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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.