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Finding the Fourth Proportional to 5,699.34, 8,548.29 and 1,539.66

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Solution

The fourth proportional to 5,699.34, 8,548.29 and 1,539.66 is: 2,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.34 : 8,548.29 = 1,539.66 : x
  2. Step 2: Convert to fraction form
    5,699.34/8,548.29 = 1,539.66/x
  3. Step 3: Cross multiply
    5,699.34x = 8,548.29 × 1,539.66
  4. Step 4: Simplify right side
    5,699.34x = 13,161,460.18
  5. Step 5: Solve for x
    x = 13,161,460.18/5,699.34
  6. Step 6: Final answer
    x = 2,309.30

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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.