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Finding the Fourth Proportional to 4,075.87, 6,114.25 and 1,301.89

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Solution

The fourth proportional to 4,075.87, 6,114.25 and 1,301.89 is: 1,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.87 : 6,114.25 = 1,301.89 : x
  2. Step 2: Convert to fraction form
    4,075.87/6,114.25 = 1,301.89/x
  3. Step 3: Cross multiply
    4,075.87x = 6,114.25 × 1,301.89
  4. Step 4: Simplify right side
    4,075.87x = 7,960,078.74
  5. Step 5: Solve for x
    x = 7,960,078.74/4,075.87
  6. Step 6: Final answer
    x = 1,952.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.