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Finding the Fourth Proportional to 5,561.70, 8,342.55 and 5,259.30

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Solution

The fourth proportional to 5,561.70, 8,342.55 and 5,259.30 is: 7,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.70 : 8,342.55 = 5,259.30 : x
  2. Step 2: Convert to fraction form
    5,561.70/8,342.55 = 5,259.30/x
  3. Step 3: Cross multiply
    5,561.70x = 8,342.55 × 5,259.30
  4. Step 4: Simplify right side
    5,561.70x = 43,875,973.22
  5. Step 5: Solve for x
    x = 43,875,973.22/5,561.70
  6. Step 6: Final answer
    x = 7,888.95

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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.