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Finding the Fourth Proportional to 4,663.78, 6,437.37 and 3,726.10

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Solution

The fourth proportional to 4,663.78, 6,437.37 and 3,726.10 is: 5,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.78 : 6,437.37 = 3,726.10 : x
  2. Step 2: Convert to fraction form
    4,663.78/6,437.37 = 3,726.10/x
  3. Step 3: Cross multiply
    4,663.78x = 6,437.37 × 3,726.10
  4. Step 4: Simplify right side
    4,663.78x = 23,986,268.26
  5. Step 5: Solve for x
    x = 23,986,268.26/4,663.78
  6. Step 6: Final answer
    x = 5,143.10

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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.