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Finding the Fourth Proportional to 5,752.78, 8,586.48 and 4,958.74

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Solution

The fourth proportional to 5,752.78, 8,586.48 and 4,958.74 is: 7,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.78 : 8,586.48 = 4,958.74 : x
  2. Step 2: Convert to fraction form
    5,752.78/8,586.48 = 4,958.74/x
  3. Step 3: Cross multiply
    5,752.78x = 8,586.48 × 4,958.74
  4. Step 4: Simplify right side
    5,752.78x = 42,578,121.84
  5. Step 5: Solve for x
    x = 42,578,121.84/5,752.78
  6. Step 6: Final answer
    x = 7,401.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.