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Finding the Fourth Proportional to 4,143.88, 5,719.76 and 2,466.47

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Solution

The fourth proportional to 4,143.88, 5,719.76 and 2,466.47 is: 3,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.88 : 5,719.76 = 2,466.47 : x
  2. Step 2: Convert to fraction form
    4,143.88/5,719.76 = 2,466.47/x
  3. Step 3: Cross multiply
    4,143.88x = 5,719.76 × 2,466.47
  4. Step 4: Simplify right side
    4,143.88x = 14,107,616.45
  5. Step 5: Solve for x
    x = 14,107,616.45/4,143.88
  6. Step 6: Final answer
    x = 3,404.45

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1.5x scale

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.