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Finding the Fourth Proportional to 3,603.46, 4,971.20 and 2,258.24

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Solution

The fourth proportional to 3,603.46, 4,971.20 and 2,258.24 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.46 : 4,971.20 = 2,258.24 : x
  2. Step 2: Convert to fraction form
    3,603.46/4,971.20 = 2,258.24/x
  3. Step 3: Cross multiply
    3,603.46x = 4,971.20 × 2,258.24
  4. Step 4: Simplify right side
    3,603.46x = 11,226,162.69
  5. Step 5: Solve for x
    x = 11,226,162.69/3,603.46
  6. Step 6: Final answer
    x = 3,115.38

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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.