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Finding the Fourth Proportional to 5,209.16, 7,813.65 and 1,313.48

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Solution

The fourth proportional to 5,209.16, 7,813.65 and 1,313.48 is: 1,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.16 : 7,813.65 = 1,313.48 : x
  2. Step 2: Convert to fraction form
    5,209.16/7,813.65 = 1,313.48/x
  3. Step 3: Cross multiply
    5,209.16x = 7,813.65 × 1,313.48
  4. Step 4: Simplify right side
    5,209.16x = 10,263,073.00
  5. Step 5: Solve for x
    x = 10,263,073.00/5,209.16
  6. Step 6: Final answer
    x = 1,970.20

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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.