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Finding the Fourth Proportional to 3,681.95, 5,074.53 and 2,559.29

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Solution

The fourth proportional to 3,681.95, 5,074.53 and 2,559.29 is: 3,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.95 : 5,074.53 = 2,559.29 : x
  2. Step 2: Convert to fraction form
    3,681.95/5,074.53 = 2,559.29/x
  3. Step 3: Cross multiply
    3,681.95x = 5,074.53 × 2,559.29
  4. Step 4: Simplify right side
    3,681.95x = 12,987,193.88
  5. Step 5: Solve for x
    x = 12,987,193.88/3,681.95
  6. Step 6: Final answer
    x = 3,527.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.