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Finding the Fourth Proportional to 4,493.16, 6,202.78 and 3,482.64

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Solution

The fourth proportional to 4,493.16, 6,202.78 and 3,482.64 is: 4,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.16 : 6,202.78 = 3,482.64 : x
  2. Step 2: Convert to fraction form
    4,493.16/6,202.78 = 3,482.64/x
  3. Step 3: Cross multiply
    4,493.16x = 6,202.78 × 3,482.64
  4. Step 4: Simplify right side
    4,493.16x = 21,602,041.03
  5. Step 5: Solve for x
    x = 21,602,041.03/4,493.16
  6. Step 6: Final answer
    x = 4,807.76

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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.