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Finding the Fourth Proportional to 4,829.86, 7,252.98 and 2,642.86

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Solution

The fourth proportional to 4,829.86, 7,252.98 and 2,642.86 is: 3,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.86 : 7,252.98 = 2,642.86 : x
  2. Step 2: Convert to fraction form
    4,829.86/7,252.98 = 2,642.86/x
  3. Step 3: Cross multiply
    4,829.86x = 7,252.98 × 2,642.86
  4. Step 4: Simplify right side
    4,829.86x = 19,168,610.72
  5. Step 5: Solve for x
    x = 19,168,610.72/4,829.86
  6. Step 6: Final answer
    x = 3,968.77

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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.