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Finding the Fourth Proportional to 5,693.86, 7,857.14 and 3,303.90

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Solution

The fourth proportional to 5,693.86, 7,857.14 and 3,303.90 is: 4,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.86 : 7,857.14 = 3,303.90 : x
  2. Step 2: Convert to fraction form
    5,693.86/7,857.14 = 3,303.90/x
  3. Step 3: Cross multiply
    5,693.86x = 7,857.14 × 3,303.90
  4. Step 4: Simplify right side
    5,693.86x = 25,959,200.72
  5. Step 5: Solve for x
    x = 25,959,200.72/5,693.86
  6. Step 6: Final answer
    x = 4,559.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.