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Finding the Fourth Proportional to 5,208.90, 7,814.03 and 1,924.30

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Solution

The fourth proportional to 5,208.90, 7,814.03 and 1,924.30 is: 2,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.90 : 7,814.03 = 1,924.30 : x
  2. Step 2: Convert to fraction form
    5,208.90/7,814.03 = 1,924.30/x
  3. Step 3: Cross multiply
    5,208.90x = 7,814.03 × 1,924.30
  4. Step 4: Simplify right side
    5,208.90x = 15,036,537.93
  5. Step 5: Solve for x
    x = 15,036,537.93/5,208.90
  6. Step 6: Final answer
    x = 2,886.70

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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.