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Finding the Fourth Proportional to 5,692.30, 8,538.45 and 4,752.70

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Solution

The fourth proportional to 5,692.30, 8,538.45 and 4,752.70 is: 7,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.30 : 8,538.45 = 4,752.70 : x
  2. Step 2: Convert to fraction form
    5,692.30/8,538.45 = 4,752.70/x
  3. Step 3: Cross multiply
    5,692.30x = 8,538.45 × 4,752.70
  4. Step 4: Simplify right side
    5,692.30x = 40,580,691.32
  5. Step 5: Solve for x
    x = 40,580,691.32/5,692.30
  6. Step 6: Final answer
    x = 7,129.05

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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.