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Finding the Fourth Proportional to 5,578.95, 7,692.57 and 4,459.13

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Solution

The fourth proportional to 5,578.95, 7,692.57 and 4,459.13 is: 6,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.95 : 7,692.57 = 4,459.13 : x
  2. Step 2: Convert to fraction form
    5,578.95/7,692.57 = 4,459.13/x
  3. Step 3: Cross multiply
    5,578.95x = 7,692.57 × 4,459.13
  4. Step 4: Simplify right side
    5,578.95x = 34,302,169.66
  5. Step 5: Solve for x
    x = 34,302,169.66/5,578.95
  6. Step 6: Final answer
    x = 6,148.50

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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.