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Finding the Fourth Proportional to 3,756.47, 5,183.91 and 2,264.10

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Solution

The fourth proportional to 3,756.47, 5,183.91 and 2,264.10 is: 3,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.47 : 5,183.91 = 2,264.10 : x
  2. Step 2: Convert to fraction form
    3,756.47/5,183.91 = 2,264.10/x
  3. Step 3: Cross multiply
    3,756.47x = 5,183.91 × 2,264.10
  4. Step 4: Simplify right side
    3,756.47x = 11,736,890.63
  5. Step 5: Solve for x
    x = 11,736,890.63/3,756.47
  6. Step 6: Final answer
    x = 3,124.45

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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.