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Finding the Fourth Proportional to 5,692.88, 8,527.80 and 4,448.72

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Solution

The fourth proportional to 5,692.88, 8,527.80 and 4,448.72 is: 6,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.88 : 8,527.80 = 4,448.72 : x
  2. Step 2: Convert to fraction form
    5,692.88/8,527.80 = 4,448.72/x
  3. Step 3: Cross multiply
    5,692.88x = 8,527.80 × 4,448.72
  4. Step 4: Simplify right side
    5,692.88x = 37,937,794.42
  5. Step 5: Solve for x
    x = 37,937,794.42/5,692.88
  6. Step 6: Final answer
    x = 6,664.08

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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.