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Finding the Fourth Proportional to 5,299.14, 7,952.68 and 1,970.46

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Solution

The fourth proportional to 5,299.14, 7,952.68 and 1,970.46 is: 2,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.14 : 7,952.68 = 1,970.46 : x
  2. Step 2: Convert to fraction form
    5,299.14/7,952.68 = 1,970.46/x
  3. Step 3: Cross multiply
    5,299.14x = 7,952.68 × 1,970.46
  4. Step 4: Simplify right side
    5,299.14x = 15,670,437.83
  5. Step 5: Solve for x
    x = 15,670,437.83/5,299.14
  6. Step 6: Final answer
    x = 2,957.17

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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.