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Finding the Fourth Proportional to 4,677.44, 7,017.24 and 1,390.46

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Solution

The fourth proportional to 4,677.44, 7,017.24 and 1,390.46 is: 2,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.44 : 7,017.24 = 1,390.46 : x
  2. Step 2: Convert to fraction form
    4,677.44/7,017.24 = 1,390.46/x
  3. Step 3: Cross multiply
    4,677.44x = 7,017.24 × 1,390.46
  4. Step 4: Simplify right side
    4,677.44x = 9,757,191.53
  5. Step 5: Solve for x
    x = 9,757,191.53/4,677.44
  6. Step 6: Final answer
    x = 2,086.01

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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.