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Finding the Fourth Proportional to 5,384.07, 8,076.11 and 1,686.62

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Solution

The fourth proportional to 5,384.07, 8,076.11 and 1,686.62 is: 2,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.07 : 8,076.11 = 1,686.62 : x
  2. Step 2: Convert to fraction form
    5,384.07/8,076.11 = 1,686.62/x
  3. Step 3: Cross multiply
    5,384.07x = 8,076.11 × 1,686.62
  4. Step 4: Simplify right side
    5,384.07x = 13,621,322.77
  5. Step 5: Solve for x
    x = 13,621,322.77/5,384.07
  6. Step 6: Final answer
    x = 2,529.93

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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.