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Finding the Fourth Proportional to 4,671.06, 6,440.73 and 3,490.14

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Solution

The fourth proportional to 4,671.06, 6,440.73 and 3,490.14 is: 4,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.06 : 6,440.73 = 3,490.14 : x
  2. Step 2: Convert to fraction form
    4,671.06/6,440.73 = 3,490.14/x
  3. Step 3: Cross multiply
    4,671.06x = 6,440.73 × 3,490.14
  4. Step 4: Simplify right side
    4,671.06x = 22,479,049.40
  5. Step 5: Solve for x
    x = 22,479,049.40/4,671.06
  6. Step 6: Final answer
    x = 4,812.41

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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.