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Finding the Fourth Proportional to 5,261.07, 7,888.84 and 1,562.79

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Solution

The fourth proportional to 5,261.07, 7,888.84 and 1,562.79 is: 2,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.07 : 7,888.84 = 1,562.79 : x
  2. Step 2: Convert to fraction form
    5,261.07/7,888.84 = 1,562.79/x
  3. Step 3: Cross multiply
    5,261.07x = 7,888.84 × 1,562.79
  4. Step 4: Simplify right side
    5,261.07x = 12,328,600.26
  5. Step 5: Solve for x
    x = 12,328,600.26/5,261.07
  6. Step 6: Final answer
    x = 2,343.36

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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.