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Finding the Fourth Proportional to 3,475.69, 4,797.01 and 2,284.13

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Solution

The fourth proportional to 3,475.69, 4,797.01 and 2,284.13 is: 3,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.69 : 4,797.01 = 2,284.13 : x
  2. Step 2: Convert to fraction form
    3,475.69/4,797.01 = 2,284.13/x
  3. Step 3: Cross multiply
    3,475.69x = 4,797.01 × 2,284.13
  4. Step 4: Simplify right side
    3,475.69x = 10,956,996.45
  5. Step 5: Solve for x
    x = 10,956,996.45/3,475.69
  6. Step 6: Final answer
    x = 3,152.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.