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Finding the Fourth Proportional to 5,259.22, 7,888.14 and 1,561.38

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Solution

The fourth proportional to 5,259.22, 7,888.14 and 1,561.38 is: 2,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.22 : 7,888.14 = 1,561.38 : x
  2. Step 2: Convert to fraction form
    5,259.22/7,888.14 = 1,561.38/x
  3. Step 3: Cross multiply
    5,259.22x = 7,888.14 × 1,561.38
  4. Step 4: Simplify right side
    5,259.22x = 12,316,384.03
  5. Step 5: Solve for x
    x = 12,316,384.03/5,259.22
  6. Step 6: Final answer
    x = 2,341.87

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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.