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Finding the Fourth Proportional to 3,415.78, 5,123.72 and 1,075.74

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Solution

The fourth proportional to 3,415.78, 5,123.72 and 1,075.74 is: 1,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.78 : 5,123.72 = 1,075.74 : x
  2. Step 2: Convert to fraction form
    3,415.78/5,123.72 = 1,075.74/x
  3. Step 3: Cross multiply
    3,415.78x = 5,123.72 × 1,075.74
  4. Step 4: Simplify right side
    3,415.78x = 5,511,790.55
  5. Step 5: Solve for x
    x = 5,511,790.55/3,415.78
  6. Step 6: Final answer
    x = 1,613.63

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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.