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Finding the Fourth Proportional to 3,854.53, 5,773.96 and 3,075.85

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Solution

The fourth proportional to 3,854.53, 5,773.96 and 3,075.85 is: 4,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.53 : 5,773.96 = 3,075.85 : x
  2. Step 2: Convert to fraction form
    3,854.53/5,773.96 = 3,075.85/x
  3. Step 3: Cross multiply
    3,854.53x = 5,773.96 × 3,075.85
  4. Step 4: Simplify right side
    3,854.53x = 17,759,812.74
  5. Step 5: Solve for x
    x = 17,759,812.74/3,854.53
  6. Step 6: Final answer
    x = 4,607.52

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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.