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Finding the Fourth Proportional to 4,652.94, 6,979.47 and 1,366.10

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Solution

The fourth proportional to 4,652.94, 6,979.47 and 1,366.10 is: 2,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.94 : 6,979.47 = 1,366.10 : x
  2. Step 2: Convert to fraction form
    4,652.94/6,979.47 = 1,366.10/x
  3. Step 3: Cross multiply
    4,652.94x = 6,979.47 × 1,366.10
  4. Step 4: Simplify right side
    4,652.94x = 9,534,619.07
  5. Step 5: Solve for x
    x = 9,534,619.07/4,652.94
  6. Step 6: Final answer
    x = 2,049.16

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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.