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Finding the Fourth Proportional to 4,813.57, 6,643.17 and 2,924.72

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Solution

The fourth proportional to 4,813.57, 6,643.17 and 2,924.72 is: 4,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.57 : 6,643.17 = 2,924.72 : x
  2. Step 2: Convert to fraction form
    4,813.57/6,643.17 = 2,924.72/x
  3. Step 3: Cross multiply
    4,813.57x = 6,643.17 × 2,924.72
  4. Step 4: Simplify right side
    4,813.57x = 19,429,378.95
  5. Step 5: Solve for x
    x = 19,429,378.95/4,813.57
  6. Step 6: Final answer
    x = 4,036.38

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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.