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Finding the Fourth Proportional to 3,420.54, 4,717.19 and 2,159.42

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Solution

The fourth proportional to 3,420.54, 4,717.19 and 2,159.42 is: 2,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.54 : 4,717.19 = 2,159.42 : x
  2. Step 2: Convert to fraction form
    3,420.54/4,717.19 = 2,159.42/x
  3. Step 3: Cross multiply
    3,420.54x = 4,717.19 × 2,159.42
  4. Step 4: Simplify right side
    3,420.54x = 10,186,376.24
  5. Step 5: Solve for x
    x = 10,186,376.24/3,420.54
  6. Step 6: Final answer
    x = 2,978.00

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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.