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Finding the Fourth Proportional to 3,559.74, 5,332.92 and 2,258.46

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Solution

The fourth proportional to 3,559.74, 5,332.92 and 2,258.46 is: 3,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.74 : 5,332.92 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    3,559.74/5,332.92 = 2,258.46/x
  3. Step 3: Cross multiply
    3,559.74x = 5,332.92 × 2,258.46
  4. Step 4: Simplify right side
    3,559.74x = 12,044,186.50
  5. Step 5: Solve for x
    x = 12,044,186.50/3,559.74
  6. Step 6: Final answer
    x = 3,383.45

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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.