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Finding the Fourth Proportional to 5,313.60, 7,970.81 and 1,616.15

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Solution

The fourth proportional to 5,313.60, 7,970.81 and 1,616.15 is: 2,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.60 : 7,970.81 = 1,616.15 : x
  2. Step 2: Convert to fraction form
    5,313.60/7,970.81 = 1,616.15/x
  3. Step 3: Cross multiply
    5,313.60x = 7,970.81 × 1,616.15
  4. Step 4: Simplify right side
    5,313.60x = 12,882,036.43
  5. Step 5: Solve for x
    x = 12,882,036.43/5,313.60
  6. Step 6: Final answer
    x = 2,424.35

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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.