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Finding the Fourth Proportional to 3,950.48, 5,925.48 and 1,177.16

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Solution

The fourth proportional to 3,950.48, 5,925.48 and 1,177.16 is: 1,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.48 : 5,925.48 = 1,177.16 : x
  2. Step 2: Convert to fraction form
    3,950.48/5,925.48 = 1,177.16/x
  3. Step 3: Cross multiply
    3,950.48x = 5,925.48 × 1,177.16
  4. Step 4: Simplify right side
    3,950.48x = 6,975,238.04
  5. Step 5: Solve for x
    x = 6,975,238.04/3,950.48
  6. Step 6: Final answer
    x = 1,765.67

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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.