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Finding the Fourth Proportional to 4,754.13, 7,133.02 and 1,980.06

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Solution

The fourth proportional to 4,754.13, 7,133.02 and 1,980.06 is: 2,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.13 : 7,133.02 = 1,980.06 : x
  2. Step 2: Convert to fraction form
    4,754.13/7,133.02 = 1,980.06/x
  3. Step 3: Cross multiply
    4,754.13x = 7,133.02 × 1,980.06
  4. Step 4: Simplify right side
    4,754.13x = 14,123,807.58
  5. Step 5: Solve for x
    x = 14,123,807.58/4,754.13
  6. Step 6: Final answer
    x = 2,970.85

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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.