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Finding the Fourth Proportional to 3,443.04, 5,164.92 and 977.84

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Solution

The fourth proportional to 3,443.04, 5,164.92 and 977.84 is: 1,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.04 : 5,164.92 = 977.84 : x
  2. Step 2: Convert to fraction form
    3,443.04/5,164.92 = 977.84/x
  3. Step 3: Cross multiply
    3,443.04x = 5,164.92 × 977.84
  4. Step 4: Simplify right side
    3,443.04x = 5,050,465.37
  5. Step 5: Solve for x
    x = 5,050,465.37/3,443.04
  6. Step 6: Final answer
    x = 1,466.86

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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.