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Finding the Fourth Proportional to 4,044, 5,580.98 and 2,451.74

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Solution

The fourth proportional to 4,044, 5,580.98 and 2,451.74 is: 3,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044 : 5,580.98 = 2,451.74 : x
  2. Step 2: Convert to fraction form
    4,044/5,580.98 = 2,451.74/x
  3. Step 3: Cross multiply
    4,044x = 5,580.98 × 2,451.74
  4. Step 4: Simplify right side
    4,044x = 13,683,111.91
  5. Step 5: Solve for x
    x = 13,683,111.91/4,044
  6. Step 6: Final answer
    x = 3,383.56

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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.