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Finding the Fourth Proportional to 4,639.71, 6,403.74 and 4,266.10

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Solution

The fourth proportional to 4,639.71, 6,403.74 and 4,266.10 is: 5,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.71 : 6,403.74 = 4,266.10 : x
  2. Step 2: Convert to fraction form
    4,639.71/6,403.74 = 4,266.10/x
  3. Step 3: Cross multiply
    4,639.71x = 6,403.74 × 4,266.10
  4. Step 4: Simplify right side
    4,639.71x = 27,318,995.21
  5. Step 5: Solve for x
    x = 27,318,995.21/4,639.71
  6. Step 6: Final answer
    x = 5,888.08

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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.