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Finding the Fourth Proportional to 3,973.94, 5,488.02 and 2,577.50

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Solution

The fourth proportional to 3,973.94, 5,488.02 and 2,577.50 is: 3,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.94 : 5,488.02 = 2,577.50 : x
  2. Step 2: Convert to fraction form
    3,973.94/5,488.02 = 2,577.50/x
  3. Step 3: Cross multiply
    3,973.94x = 5,488.02 × 2,577.50
  4. Step 4: Simplify right side
    3,973.94x = 14,145,371.55
  5. Step 5: Solve for x
    x = 14,145,371.55/3,973.94
  6. Step 6: Final answer
    x = 3,559.53

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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.