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Finding the Fourth Proportional to 4,496.83, 6,744.72 and 1,210.18

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Solution

The fourth proportional to 4,496.83, 6,744.72 and 1,210.18 is: 1,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.83 : 6,744.72 = 1,210.18 : x
  2. Step 2: Convert to fraction form
    4,496.83/6,744.72 = 1,210.18/x
  3. Step 3: Cross multiply
    4,496.83x = 6,744.72 × 1,210.18
  4. Step 4: Simplify right side
    4,496.83x = 8,162,325.25
  5. Step 5: Solve for x
    x = 8,162,325.25/4,496.83
  6. Step 6: Final answer
    x = 1,815.13

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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.