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Finding the Fourth Proportional to 5,732.95, 7,911.79 and 4,314.08

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Solution

The fourth proportional to 5,732.95, 7,911.79 and 4,314.08 is: 5,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.95 : 7,911.79 = 4,314.08 : x
  2. Step 2: Convert to fraction form
    5,732.95/7,911.79 = 4,314.08/x
  3. Step 3: Cross multiply
    5,732.95x = 7,911.79 × 4,314.08
  4. Step 4: Simplify right side
    5,732.95x = 34,132,104.00
  5. Step 5: Solve for x
    x = 34,132,104.00/5,732.95
  6. Step 6: Final answer
    x = 5,953.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.