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Finding the Fourth Proportional to 5,856.24, 8,783.28 and 3,074.16

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Solution

The fourth proportional to 5,856.24, 8,783.28 and 3,074.16 is: 4,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.24 : 8,783.28 = 3,074.16 : x
  2. Step 2: Convert to fraction form
    5,856.24/8,783.28 = 3,074.16/x
  3. Step 3: Cross multiply
    5,856.24x = 8,783.28 × 3,074.16
  4. Step 4: Simplify right side
    5,856.24x = 27,001,208.04
  5. Step 5: Solve for x
    x = 27,001,208.04/5,856.24
  6. Step 6: Final answer
    x = 4,610.67

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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.