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Finding the Fourth Proportional to 4,146.24, 5,719.24 and 2,466.51

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Solution

The fourth proportional to 4,146.24, 5,719.24 and 2,466.51 is: 3,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.24 : 5,719.24 = 2,466.51 : x
  2. Step 2: Convert to fraction form
    4,146.24/5,719.24 = 2,466.51/x
  3. Step 3: Cross multiply
    4,146.24x = 5,719.24 × 2,466.51
  4. Step 4: Simplify right side
    4,146.24x = 14,106,562.65
  5. Step 5: Solve for x
    x = 14,106,562.65/4,146.24
  6. Step 6: Final answer
    x = 3,402.25

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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.