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Finding the Fourth Proportional to 4,075.88, 5,624.82 and 2,213

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Solution

The fourth proportional to 4,075.88, 5,624.82 and 2,213 is: 3,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.88 : 5,624.82 = 2,213 : x
  2. Step 2: Convert to fraction form
    4,075.88/5,624.82 = 2,213/x
  3. Step 3: Cross multiply
    4,075.88x = 5,624.82 × 2,213
  4. Step 4: Simplify right side
    4,075.88x = 12,447,726.66
  5. Step 5: Solve for x
    x = 12,447,726.66/4,075.88
  6. Step 6: Final answer
    x = 3,054.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.