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Finding the Fourth Proportional to 4,548.74, 6,277.21 and 2,559.30

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Solution

The fourth proportional to 4,548.74, 6,277.21 and 2,559.30 is: 3,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.74 : 6,277.21 = 2,559.30 : x
  2. Step 2: Convert to fraction form
    4,548.74/6,277.21 = 2,559.30/x
  3. Step 3: Cross multiply
    4,548.74x = 6,277.21 × 2,559.30
  4. Step 4: Simplify right side
    4,548.74x = 16,065,263.55
  5. Step 5: Solve for x
    x = 16,065,263.55/4,548.74
  6. Step 6: Final answer
    x = 3,531.81

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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.