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Finding the Fourth Proportional to 3,667.86, 5,062.80 and 2,345.13

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Solution

The fourth proportional to 3,667.86, 5,062.80 and 2,345.13 is: 3,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.86 : 5,062.80 = 2,345.13 : x
  2. Step 2: Convert to fraction form
    3,667.86/5,062.80 = 2,345.13/x
  3. Step 3: Cross multiply
    3,667.86x = 5,062.80 × 2,345.13
  4. Step 4: Simplify right side
    3,667.86x = 11,872,924.16
  5. Step 5: Solve for x
    x = 11,872,924.16/3,667.86
  6. Step 6: Final answer
    x = 3,237.02

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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.