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Finding the Fourth Proportional to 3,782.80, 5,218.16 and 2,210.32

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Solution

The fourth proportional to 3,782.80, 5,218.16 and 2,210.32 is: 3,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.80 : 5,218.16 = 2,210.32 : x
  2. Step 2: Convert to fraction form
    3,782.80/5,218.16 = 2,210.32/x
  3. Step 3: Cross multiply
    3,782.80x = 5,218.16 × 2,210.32
  4. Step 4: Simplify right side
    3,782.80x = 11,533,803.41
  5. Step 5: Solve for x
    x = 11,533,803.41/3,782.80
  6. Step 6: Final answer
    x = 3,049.01

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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.