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Finding the Fourth Proportional to 4,855.50, 6,693.80 and 4,106.46

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Solution

The fourth proportional to 4,855.50, 6,693.80 and 4,106.46 is: 5,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.50 : 6,693.80 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    4,855.50/6,693.80 = 4,106.46/x
  3. Step 3: Cross multiply
    4,855.50x = 6,693.80 × 4,106.46
  4. Step 4: Simplify right side
    4,855.50x = 27,487,821.95
  5. Step 5: Solve for x
    x = 27,487,821.95/4,855.50
  6. Step 6: Final answer
    x = 5,661.17

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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.