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Finding the Fourth Proportional to 5,698.95, 7,864.35 and 3,181.01

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Solution

The fourth proportional to 5,698.95, 7,864.35 and 3,181.01 is: 4,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.95 : 7,864.35 = 3,181.01 : x
  2. Step 2: Convert to fraction form
    5,698.95/7,864.35 = 3,181.01/x
  3. Step 3: Cross multiply
    5,698.95x = 7,864.35 × 3,181.01
  4. Step 4: Simplify right side
    5,698.95x = 25,016,575.99
  5. Step 5: Solve for x
    x = 25,016,575.99/5,698.95
  6. Step 6: Final answer
    x = 4,389.68

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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.