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Finding the Fourth Proportional to 3,597.50, 5,397.96 and 2,058.50

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Solution

The fourth proportional to 3,597.50, 5,397.96 and 2,058.50 is: 3,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.50 : 5,397.96 = 2,058.50 : x
  2. Step 2: Convert to fraction form
    3,597.50/5,397.96 = 2,058.50/x
  3. Step 3: Cross multiply
    3,597.50x = 5,397.96 × 2,058.50
  4. Step 4: Simplify right side
    3,597.50x = 11,111,700.66
  5. Step 5: Solve for x
    x = 11,111,700.66/3,597.50
  6. Step 6: Final answer
    x = 3,088.73

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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.