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Finding the Fourth Proportional to 5,774.40, 8,661.60 and 2,077.20

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Solution

The fourth proportional to 5,774.40, 8,661.60 and 2,077.20 is: 3,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.40 : 8,661.60 = 2,077.20 : x
  2. Step 2: Convert to fraction form
    5,774.40/8,661.60 = 2,077.20/x
  3. Step 3: Cross multiply
    5,774.40x = 8,661.60 × 2,077.20
  4. Step 4: Simplify right side
    5,774.40x = 17,991,875.52
  5. Step 5: Solve for x
    x = 17,991,875.52/5,774.40
  6. Step 6: Final answer
    x = 3,115.80

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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.