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Finding the Fourth Proportional to 4,189.60, 6,284.41 and 1,415.53

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Solution

The fourth proportional to 4,189.60, 6,284.41 and 1,415.53 is: 2,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.60 : 6,284.41 = 1,415.53 : x
  2. Step 2: Convert to fraction form
    4,189.60/6,284.41 = 1,415.53/x
  3. Step 3: Cross multiply
    4,189.60x = 6,284.41 × 1,415.53
  4. Step 4: Simplify right side
    4,189.60x = 8,895,751.64
  5. Step 5: Solve for x
    x = 8,895,751.64/4,189.60
  6. Step 6: Final answer
    x = 2,123.30

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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.