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Finding the Fourth Proportional to 5,369, 8,048.46 and 1,904.36

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Solution

The fourth proportional to 5,369, 8,048.46 and 1,904.36 is: 2,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369 : 8,048.46 = 1,904.36 : x
  2. Step 2: Convert to fraction form
    5,369/8,048.46 = 1,904.36/x
  3. Step 3: Cross multiply
    5,369x = 8,048.46 × 1,904.36
  4. Step 4: Simplify right side
    5,369x = 15,327,165.29
  5. Step 5: Solve for x
    x = 15,327,165.29/5,369
  6. Step 6: Final answer
    x = 2,854.75

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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.