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Finding the Fourth Proportional to 4,302.90, 5,937.08 and 2,813.00

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Solution

The fourth proportional to 4,302.90, 5,937.08 and 2,813.00 is: 3,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.90 : 5,937.08 = 2,813.00 : x
  2. Step 2: Convert to fraction form
    4,302.90/5,937.08 = 2,813.00/x
  3. Step 3: Cross multiply
    4,302.90x = 5,937.08 × 2,813.00
  4. Step 4: Simplify right side
    4,302.90x = 16,701,027.92
  5. Step 5: Solve for x
    x = 16,701,027.92/4,302.90
  6. Step 6: Final answer
    x = 3,881.34

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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.