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Finding the Fourth Proportional to 5,856.16, 8,782.32 and 2,394.40

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Solution

The fourth proportional to 5,856.16, 8,782.32 and 2,394.40 is: 3,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.16 : 8,782.32 = 2,394.40 : x
  2. Step 2: Convert to fraction form
    5,856.16/8,782.32 = 2,394.40/x
  3. Step 3: Cross multiply
    5,856.16x = 8,782.32 × 2,394.40
  4. Step 4: Simplify right side
    5,856.16x = 21,028,387.01
  5. Step 5: Solve for x
    x = 21,028,387.01/5,856.16
  6. Step 6: Final answer
    x = 3,590.81

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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.