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Finding the Fourth Proportional to 5,385.88, 8,075.76 and 1,874.08

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Solution

The fourth proportional to 5,385.88, 8,075.76 and 1,874.08 is: 2,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.88 : 8,075.76 = 1,874.08 : x
  2. Step 2: Convert to fraction form
    5,385.88/8,075.76 = 1,874.08/x
  3. Step 3: Cross multiply
    5,385.88x = 8,075.76 × 1,874.08
  4. Step 4: Simplify right side
    5,385.88x = 15,134,620.30
  5. Step 5: Solve for x
    x = 15,134,620.30/5,385.88
  6. Step 6: Final answer
    x = 2,810.06

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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.