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Finding the Fourth Proportional to 4,075.22, 5,623.86 and 2,502.38

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Solution

The fourth proportional to 4,075.22, 5,623.86 and 2,502.38 is: 3,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.22 : 5,623.86 = 2,502.38 : x
  2. Step 2: Convert to fraction form
    4,075.22/5,623.86 = 2,502.38/x
  3. Step 3: Cross multiply
    4,075.22x = 5,623.86 × 2,502.38
  4. Step 4: Simplify right side
    4,075.22x = 14,073,006.67
  5. Step 5: Solve for x
    x = 14,073,006.67/4,075.22
  6. Step 6: Final answer
    x = 3,453.32

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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.