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Finding the Fourth Proportional to 3,420.94, 4,711.46 and 2,948.66

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Solution

The fourth proportional to 3,420.94, 4,711.46 and 2,948.66 is: 4,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.94 : 4,711.46 = 2,948.66 : x
  2. Step 2: Convert to fraction form
    3,420.94/4,711.46 = 2,948.66/x
  3. Step 3: Cross multiply
    3,420.94x = 4,711.46 × 2,948.66
  4. Step 4: Simplify right side
    3,420.94x = 13,892,473.01
  5. Step 5: Solve for x
    x = 13,892,473.01/3,420.94
  6. Step 6: Final answer
    x = 4,061.01

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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.