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Finding the Fourth Proportional to 4,719.94, 7,071.71 and 2,524.74

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Solution

The fourth proportional to 4,719.94, 7,071.71 and 2,524.74 is: 3,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.94 : 7,071.71 = 2,524.74 : x
  2. Step 2: Convert to fraction form
    4,719.94/7,071.71 = 2,524.74/x
  3. Step 3: Cross multiply
    4,719.94x = 7,071.71 × 2,524.74
  4. Step 4: Simplify right side
    4,719.94x = 17,854,225.95
  5. Step 5: Solve for x
    x = 17,854,225.95/4,719.94
  6. Step 6: Final answer
    x = 3,782.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.