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Finding the Fourth Proportional to 4,870.24, 7,305.96 and 2,097.28

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Solution

The fourth proportional to 4,870.24, 7,305.96 and 2,097.28 is: 3,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.24 : 7,305.96 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    4,870.24/7,305.96 = 2,097.28/x
  3. Step 3: Cross multiply
    4,870.24x = 7,305.96 × 2,097.28
  4. Step 4: Simplify right side
    4,870.24x = 15,322,643.79
  5. Step 5: Solve for x
    x = 15,322,643.79/4,870.24
  6. Step 6: Final answer
    x = 3,146.18

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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.