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Finding the Fourth Proportional to 5,305.47, 7,950.66 and 3,907.81

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Solution

The fourth proportional to 5,305.47, 7,950.66 and 3,907.81 is: 5,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.47 : 7,950.66 = 3,907.81 : x
  2. Step 2: Convert to fraction form
    5,305.47/7,950.66 = 3,907.81/x
  3. Step 3: Cross multiply
    5,305.47x = 7,950.66 × 3,907.81
  4. Step 4: Simplify right side
    5,305.47x = 31,069,663.94
  5. Step 5: Solve for x
    x = 31,069,663.94/5,305.47
  6. Step 6: Final answer
    x = 5,856.16

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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.