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Finding the Fourth Proportional to 4,075.63, 5,624.49 and 2,307.49

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Solution

The fourth proportional to 4,075.63, 5,624.49 and 2,307.49 is: 3,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.63 : 5,624.49 = 2,307.49 : x
  2. Step 2: Convert to fraction form
    4,075.63/5,624.49 = 2,307.49/x
  3. Step 3: Cross multiply
    4,075.63x = 5,624.49 × 2,307.49
  4. Step 4: Simplify right side
    4,075.63x = 12,978,454.43
  5. Step 5: Solve for x
    x = 12,978,454.43/4,075.63
  6. Step 6: Final answer
    x = 3,184.40

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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.