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Finding the Fourth Proportional to 4,723.31, 7,084.16 and 1,345.86

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Solution

The fourth proportional to 4,723.31, 7,084.16 and 1,345.86 is: 2,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.31 : 7,084.16 = 1,345.86 : x
  2. Step 2: Convert to fraction form
    4,723.31/7,084.16 = 1,345.86/x
  3. Step 3: Cross multiply
    4,723.31x = 7,084.16 × 1,345.86
  4. Step 4: Simplify right side
    4,723.31x = 9,534,287.58
  5. Step 5: Solve for x
    x = 9,534,287.58/4,723.31
  6. Step 6: Final answer
    x = 2,018.56

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Why These Related Problems?

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