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Finding the Fourth Proportional to 3,950.12, 5,925.76 and 1,316.76

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Solution

The fourth proportional to 3,950.12, 5,925.76 and 1,316.76 is: 1,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.12 : 5,925.76 = 1,316.76 : x
  2. Step 2: Convert to fraction form
    3,950.12/5,925.76 = 1,316.76/x
  3. Step 3: Cross multiply
    3,950.12x = 5,925.76 × 1,316.76
  4. Step 4: Simplify right side
    3,950.12x = 7,802,800.45
  5. Step 5: Solve for x
    x = 7,802,800.45/3,950.12
  6. Step 6: Final answer
    x = 1,975.34

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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.