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Finding the Fourth Proportional to 5,710.35, 8,564.67 and 1,814.25

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Solution

The fourth proportional to 5,710.35, 8,564.67 and 1,814.25 is: 2,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.35 : 8,564.67 = 1,814.25 : x
  2. Step 2: Convert to fraction form
    5,710.35/8,564.67 = 1,814.25/x
  3. Step 3: Cross multiply
    5,710.35x = 8,564.67 × 1,814.25
  4. Step 4: Simplify right side
    5,710.35x = 15,538,452.55
  5. Step 5: Solve for x
    x = 15,538,452.55/5,710.35
  6. Step 6: Final answer
    x = 2,721.10

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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.