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Finding the Fourth Proportional to 5,878.56, 8,818.60 and 1,928.46

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Solution

The fourth proportional to 5,878.56, 8,818.60 and 1,928.46 is: 2,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.56 : 8,818.60 = 1,928.46 : x
  2. Step 2: Convert to fraction form
    5,878.56/8,818.60 = 1,928.46/x
  3. Step 3: Cross multiply
    5,878.56x = 8,818.60 × 1,928.46
  4. Step 4: Simplify right side
    5,878.56x = 17,006,317.36
  5. Step 5: Solve for x
    x = 17,006,317.36/5,878.56
  6. Step 6: Final answer
    x = 2,892.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.