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Finding the Fourth Proportional to 5,697.99, 7,856.33 and 4,422.24

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Solution

The fourth proportional to 5,697.99, 7,856.33 and 4,422.24 is: 6,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.99 : 7,856.33 = 4,422.24 : x
  2. Step 2: Convert to fraction form
    5,697.99/7,856.33 = 4,422.24/x
  3. Step 3: Cross multiply
    5,697.99x = 7,856.33 × 4,422.24
  4. Step 4: Simplify right side
    5,697.99x = 34,742,554.67
  5. Step 5: Solve for x
    x = 34,742,554.67/5,697.99
  6. Step 6: Final answer
    x = 6,097.34

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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.