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Finding the Fourth Proportional to 5,842.59, 8,763.84 and 1,460.02

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Solution

The fourth proportional to 5,842.59, 8,763.84 and 1,460.02 is: 2,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.59 : 8,763.84 = 1,460.02 : x
  2. Step 2: Convert to fraction form
    5,842.59/8,763.84 = 1,460.02/x
  3. Step 3: Cross multiply
    5,842.59x = 8,763.84 × 1,460.02
  4. Step 4: Simplify right side
    5,842.59x = 12,795,381.68
  5. Step 5: Solve for x
    x = 12,795,381.68/5,842.59
  6. Step 6: Final answer
    x = 2,190.02

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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.