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Finding the Fourth Proportional to 3,262.86, 4,894.65 and 1,071.42

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Solution

The fourth proportional to 3,262.86, 4,894.65 and 1,071.42 is: 1,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.86 : 4,894.65 = 1,071.42 : x
  2. Step 2: Convert to fraction form
    3,262.86/4,894.65 = 1,071.42/x
  3. Step 3: Cross multiply
    3,262.86x = 4,894.65 × 1,071.42
  4. Step 4: Simplify right side
    3,262.86x = 5,244,225.90
  5. Step 5: Solve for x
    x = 5,244,225.90/3,262.86
  6. Step 6: Final answer
    x = 1,607.25

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