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Finding the Fourth Proportional to 3,681.74, 5,082.46 and 2,423.46

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Solution

The fourth proportional to 3,681.74, 5,082.46 and 2,423.46 is: 3,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.74 : 5,082.46 = 2,423.46 : x
  2. Step 2: Convert to fraction form
    3,681.74/5,082.46 = 2,423.46/x
  3. Step 3: Cross multiply
    3,681.74x = 5,082.46 × 2,423.46
  4. Step 4: Simplify right side
    3,681.74x = 12,317,138.51
  5. Step 5: Solve for x
    x = 12,317,138.51/3,681.74
  6. Step 6: Final answer
    x = 3,345.47

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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.