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Finding the Fourth Proportional to 4,726.34, 6,523.55 and 2,838

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Solution

The fourth proportional to 4,726.34, 6,523.55 and 2,838 is: 3,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.34 : 6,523.55 = 2,838 : x
  2. Step 2: Convert to fraction form
    4,726.34/6,523.55 = 2,838/x
  3. Step 3: Cross multiply
    4,726.34x = 6,523.55 × 2,838
  4. Step 4: Simplify right side
    4,726.34x = 18,513,820.71
  5. Step 5: Solve for x
    x = 18,513,820.71/4,726.34
  6. Step 6: Final answer
    x = 3,917.16

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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.