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Finding the Fourth Proportional to 5,056.41, 6,978.02 and 2,818.77

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Solution

The fourth proportional to 5,056.41, 6,978.02 and 2,818.77 is: 3,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.41 : 6,978.02 = 2,818.77 : x
  2. Step 2: Convert to fraction form
    5,056.41/6,978.02 = 2,818.77/x
  3. Step 3: Cross multiply
    5,056.41x = 6,978.02 × 2,818.77
  4. Step 4: Simplify right side
    5,056.41x = 19,669,393.17
  5. Step 5: Solve for x
    x = 19,669,393.17/5,056.41
  6. Step 6: Final answer
    x = 3,889.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.