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Finding the Fourth Proportional to 5,856.34, 8,776.84 and 5,114.08

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Solution

The fourth proportional to 5,856.34, 8,776.84 and 5,114.08 is: 7,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.34 : 8,776.84 = 5,114.08 : x
  2. Step 2: Convert to fraction form
    5,856.34/8,776.84 = 5,114.08/x
  3. Step 3: Cross multiply
    5,856.34x = 8,776.84 × 5,114.08
  4. Step 4: Simplify right side
    5,856.34x = 44,885,461.91
  5. Step 5: Solve for x
    x = 44,885,461.91/5,856.34
  6. Step 6: Final answer
    x = 7,664.42

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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.