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Finding the Fourth Proportional to 4,075.52, 5,624.10 and 2,307.29

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Solution

The fourth proportional to 4,075.52, 5,624.10 and 2,307.29 is: 3,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.52 : 5,624.10 = 2,307.29 : x
  2. Step 2: Convert to fraction form
    4,075.52/5,624.10 = 2,307.29/x
  3. Step 3: Cross multiply
    4,075.52x = 5,624.10 × 2,307.29
  4. Step 4: Simplify right side
    4,075.52x = 12,976,401.57
  5. Step 5: Solve for x
    x = 12,976,401.57/4,075.52
  6. Step 6: Final answer
    x = 3,183.99

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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.