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Finding the Fourth Proportional to 5,459.88, 8,190.23 and 1,564.59

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Solution

The fourth proportional to 5,459.88, 8,190.23 and 1,564.59 is: 2,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.88 : 8,190.23 = 1,564.59 : x
  2. Step 2: Convert to fraction form
    5,459.88/8,190.23 = 1,564.59/x
  3. Step 3: Cross multiply
    5,459.88x = 8,190.23 × 1,564.59
  4. Step 4: Simplify right side
    5,459.88x = 12,814,351.96
  5. Step 5: Solve for x
    x = 12,814,351.96/5,459.88
  6. Step 6: Final answer
    x = 2,347.00

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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.