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Finding the Fourth Proportional to 5,296.45, 7,928.88 and 3,210.16

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Solution

The fourth proportional to 5,296.45, 7,928.88 and 3,210.16 is: 4,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.45 : 7,928.88 = 3,210.16 : x
  2. Step 2: Convert to fraction form
    5,296.45/7,928.88 = 3,210.16/x
  3. Step 3: Cross multiply
    5,296.45x = 7,928.88 × 3,210.16
  4. Step 4: Simplify right side
    5,296.45x = 25,452,973.42
  5. Step 5: Solve for x
    x = 25,452,973.42/5,296.45
  6. Step 6: Final answer
    x = 4,805.67

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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.