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Finding the Fourth Proportional to 3,955.42, 5,460.78 and 2,384.02

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Solution

The fourth proportional to 3,955.42, 5,460.78 and 2,384.02 is: 3,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.42 : 5,460.78 = 2,384.02 : x
  2. Step 2: Convert to fraction form
    3,955.42/5,460.78 = 2,384.02/x
  3. Step 3: Cross multiply
    3,955.42x = 5,460.78 × 2,384.02
  4. Step 4: Simplify right side
    3,955.42x = 13,018,608.74
  5. Step 5: Solve for x
    x = 13,018,608.74/3,955.42
  6. Step 6: Final answer
    x = 3,291.33

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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.