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Finding the Fourth Proportional to 4,585, 6,328.74 and 2,929

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Solution

The fourth proportional to 4,585, 6,328.74 and 2,929 is: 4,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585 : 6,328.74 = 2,929 : x
  2. Step 2: Convert to fraction form
    4,585/6,328.74 = 2,929/x
  3. Step 3: Cross multiply
    4,585x = 6,328.74 × 2,929
  4. Step 4: Simplify right side
    4,585x = 18,536,879.46
  5. Step 5: Solve for x
    x = 18,536,879.46/4,585
  6. Step 6: Final answer
    x = 4,042.94

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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.