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Finding the Fourth Proportional to 3,663.79, 5,486.57 and 2,563.00

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Solution

The fourth proportional to 3,663.79, 5,486.57 and 2,563.00 is: 3,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.79 : 5,486.57 = 2,563.00 : x
  2. Step 2: Convert to fraction form
    3,663.79/5,486.57 = 2,563.00/x
  3. Step 3: Cross multiply
    3,663.79x = 5,486.57 × 2,563.00
  4. Step 4: Simplify right side
    3,663.79x = 14,062,085.77
  5. Step 5: Solve for x
    x = 14,062,085.77/3,663.79
  6. Step 6: Final answer
    x = 3,838.12

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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.