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Finding the Fourth Proportional to 3,835.37, 5,292.63 and 2,345.78

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Solution

The fourth proportional to 3,835.37, 5,292.63 and 2,345.78 is: 3,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.37 : 5,292.63 = 2,345.78 : x
  2. Step 2: Convert to fraction form
    3,835.37/5,292.63 = 2,345.78/x
  3. Step 3: Cross multiply
    3,835.37x = 5,292.63 × 2,345.78
  4. Step 4: Simplify right side
    3,835.37x = 12,415,345.60
  5. Step 5: Solve for x
    x = 12,415,345.60/3,835.37
  6. Step 6: Final answer
    x = 3,237.07

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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.