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Finding the Fourth Proportional to 5,962.68, 8,944.63 and 1,580.14

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Solution

The fourth proportional to 5,962.68, 8,944.63 and 1,580.14 is: 2,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.68 : 8,944.63 = 1,580.14 : x
  2. Step 2: Convert to fraction form
    5,962.68/8,944.63 = 1,580.14/x
  3. Step 3: Cross multiply
    5,962.68x = 8,944.63 × 1,580.14
  4. Step 4: Simplify right side
    5,962.68x = 14,133,720.95
  5. Step 5: Solve for x
    x = 14,133,720.95/5,962.68
  6. Step 6: Final answer
    x = 2,370.36

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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.