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Finding the Fourth Proportional to 5,285.67, 7,294.64 and 2,928.03

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Solution

The fourth proportional to 5,285.67, 7,294.64 and 2,928.03 is: 4,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.67 : 7,294.64 = 2,928.03 : x
  2. Step 2: Convert to fraction form
    5,285.67/7,294.64 = 2,928.03/x
  3. Step 3: Cross multiply
    5,285.67x = 7,294.64 × 2,928.03
  4. Step 4: Simplify right side
    5,285.67x = 21,358,924.76
  5. Step 5: Solve for x
    x = 21,358,924.76/5,285.67
  6. Step 6: Final answer
    x = 4,040.91

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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.