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Finding the Fourth Proportional to 4,866.24, 7,268.28 and 4,210.14

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Solution

The fourth proportional to 4,866.24, 7,268.28 and 4,210.14 is: 6,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.24 : 7,268.28 = 4,210.14 : x
  2. Step 2: Convert to fraction form
    4,866.24/7,268.28 = 4,210.14/x
  3. Step 3: Cross multiply
    4,866.24x = 7,268.28 × 4,210.14
  4. Step 4: Simplify right side
    4,866.24x = 30,600,476.36
  5. Step 5: Solve for x
    x = 30,600,476.36/4,866.24
  6. Step 6: Final answer
    x = 6,288.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.