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Finding the Fourth Proportional to 4,640.18, 6,955.41 and 1,866.20

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Solution

The fourth proportional to 4,640.18, 6,955.41 and 1,866.20 is: 2,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.18 : 6,955.41 = 1,866.20 : x
  2. Step 2: Convert to fraction form
    4,640.18/6,955.41 = 1,866.20/x
  3. Step 3: Cross multiply
    4,640.18x = 6,955.41 × 1,866.20
  4. Step 4: Simplify right side
    4,640.18x = 12,980,186.14
  5. Step 5: Solve for x
    x = 12,980,186.14/4,640.18
  6. Step 6: Final answer
    x = 2,797.35

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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.