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Finding the Fourth Proportional to 8,994.48, 13,490.76 and 2,838

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Solution

The fourth proportional to 8,994.48, 13,490.76 and 2,838 is: 4,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.48 : 13,490.76 = 2,838 : x
  2. Step 2: Convert to fraction form
    8,994.48/13,490.76 = 2,838/x
  3. Step 3: Cross multiply
    8,994.48x = 13,490.76 × 2,838
  4. Step 4: Simplify right side
    8,994.48x = 38,286,776.88
  5. Step 5: Solve for x
    x = 38,286,776.88/8,994.48
  6. Step 6: Final answer
    x = 4,256.70

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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.