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Finding the Fourth Proportional to 4,981.74, 6,873.16 and 3,214.52

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Solution

The fourth proportional to 4,981.74, 6,873.16 and 3,214.52 is: 4,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.74 : 6,873.16 = 3,214.52 : x
  2. Step 2: Convert to fraction form
    4,981.74/6,873.16 = 3,214.52/x
  3. Step 3: Cross multiply
    4,981.74x = 6,873.16 × 3,214.52
  4. Step 4: Simplify right side
    4,981.74x = 22,093,894.21
  5. Step 5: Solve for x
    x = 22,093,894.21/4,981.74
  6. Step 6: Final answer
    x = 4,434.98

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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.