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Finding the Fourth Proportional to 3,826.64, 5,726.50 and 2,345.40

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Solution

The fourth proportional to 3,826.64, 5,726.50 and 2,345.40 is: 3,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.64 : 5,726.50 = 2,345.40 : x
  2. Step 2: Convert to fraction form
    3,826.64/5,726.50 = 2,345.40/x
  3. Step 3: Cross multiply
    3,826.64x = 5,726.50 × 2,345.40
  4. Step 4: Simplify right side
    3,826.64x = 13,430,933.10
  5. Step 5: Solve for x
    x = 13,430,933.10/3,826.64
  6. Step 6: Final answer
    x = 3,509.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.