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Finding the Fourth Proportional to 5,460.77, 8,192.37 and 1,564.88

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Solution

The fourth proportional to 5,460.77, 8,192.37 and 1,564.88 is: 2,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.77 : 8,192.37 = 1,564.88 : x
  2. Step 2: Convert to fraction form
    5,460.77/8,192.37 = 1,564.88/x
  3. Step 3: Cross multiply
    5,460.77x = 8,192.37 × 1,564.88
  4. Step 4: Simplify right side
    5,460.77x = 12,820,040.87
  5. Step 5: Solve for x
    x = 12,820,040.87/5,460.77
  6. Step 6: Final answer
    x = 2,347.66

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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.