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Finding the Fourth Proportional to 2,506.56, 3,738.68 and 2,362.04

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Solution

The fourth proportional to 2,506.56, 3,738.68 and 2,362.04 is: 3,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.56 : 3,738.68 = 2,362.04 : x
  2. Step 2: Convert to fraction form
    2,506.56/3,738.68 = 2,362.04/x
  3. Step 3: Cross multiply
    2,506.56x = 3,738.68 × 2,362.04
  4. Step 4: Simplify right side
    2,506.56x = 8,830,911.71
  5. Step 5: Solve for x
    x = 8,830,911.71/2,506.56
  6. Step 6: Final answer
    x = 3,523.12

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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.