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Finding the Fourth Proportional to 5,666.16, 8,496.36 and 2,586

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Solution

The fourth proportional to 5,666.16, 8,496.36 and 2,586 is: 3,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.16 : 8,496.36 = 2,586 : x
  2. Step 2: Convert to fraction form
    5,666.16/8,496.36 = 2,586/x
  3. Step 3: Cross multiply
    5,666.16x = 8,496.36 × 2,586
  4. Step 4: Simplify right side
    5,666.16x = 21,971,586.96
  5. Step 5: Solve for x
    x = 21,971,586.96/5,666.16
  6. Step 6: Final answer
    x = 3,877.69

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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.