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Finding the Fourth Proportional to 3,442.46, 4,753.74 and 2,503.66

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Solution

The fourth proportional to 3,442.46, 4,753.74 and 2,503.66 is: 3,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.46 : 4,753.74 = 2,503.66 : x
  2. Step 2: Convert to fraction form
    3,442.46/4,753.74 = 2,503.66/x
  3. Step 3: Cross multiply
    3,442.46x = 4,753.74 × 2,503.66
  4. Step 4: Simplify right side
    3,442.46x = 11,901,748.69
  5. Step 5: Solve for x
    x = 11,901,748.69/3,442.46
  6. Step 6: Final answer
    x = 3,457.34

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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.