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Finding the Fourth Proportional to 3,509.66, 4,845.84 and 2,184.50

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Solution

The fourth proportional to 3,509.66, 4,845.84 and 2,184.50 is: 3,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.66 : 4,845.84 = 2,184.50 : x
  2. Step 2: Convert to fraction form
    3,509.66/4,845.84 = 2,184.50/x
  3. Step 3: Cross multiply
    3,509.66x = 4,845.84 × 2,184.50
  4. Step 4: Simplify right side
    3,509.66x = 10,585,737.48
  5. Step 5: Solve for x
    x = 10,585,737.48/3,509.66
  6. Step 6: Final answer
    x = 3,016.17

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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.