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Finding the Fourth Proportional to 3,840.64, 5,300.08 and 2,269.60

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Solution

The fourth proportional to 3,840.64, 5,300.08 and 2,269.60 is: 3,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.64 : 5,300.08 = 2,269.60 : x
  2. Step 2: Convert to fraction form
    3,840.64/5,300.08 = 2,269.60/x
  3. Step 3: Cross multiply
    3,840.64x = 5,300.08 × 2,269.60
  4. Step 4: Simplify right side
    3,840.64x = 12,029,061.57
  5. Step 5: Solve for x
    x = 12,029,061.57/3,840.64
  6. Step 6: Final answer
    x = 3,132.05

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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.