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Finding the Fourth Proportional to 3,860.64, 5,792.24 and 2,400.80

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Solution

The fourth proportional to 3,860.64, 5,792.24 and 2,400.80 is: 3,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.64 : 5,792.24 = 2,400.80 : x
  2. Step 2: Convert to fraction form
    3,860.64/5,792.24 = 2,400.80/x
  3. Step 3: Cross multiply
    3,860.64x = 5,792.24 × 2,400.80
  4. Step 4: Simplify right side
    3,860.64x = 13,906,009.79
  5. Step 5: Solve for x
    x = 13,906,009.79/3,860.64
  6. Step 6: Final answer
    x = 3,602.00

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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.