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Finding the Fourth Proportional to 4,869.93, 7,300.28 and 1,580.73

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Solution

The fourth proportional to 4,869.93, 7,300.28 and 1,580.73 is: 2,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.93 : 7,300.28 = 1,580.73 : x
  2. Step 2: Convert to fraction form
    4,869.93/7,300.28 = 1,580.73/x
  3. Step 3: Cross multiply
    4,869.93x = 7,300.28 × 1,580.73
  4. Step 4: Simplify right side
    4,869.93x = 11,539,727.20
  5. Step 5: Solve for x
    x = 11,539,727.20/4,869.93
  6. Step 6: Final answer
    x = 2,369.59

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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.