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Finding the Fourth Proportional to 5,349.55, 7,384.40 and 4,789.01

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Solution

The fourth proportional to 5,349.55, 7,384.40 and 4,789.01 is: 6,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.55 : 7,384.40 = 4,789.01 : x
  2. Step 2: Convert to fraction form
    5,349.55/7,384.40 = 4,789.01/x
  3. Step 3: Cross multiply
    5,349.55x = 7,384.40 × 4,789.01
  4. Step 4: Simplify right side
    5,349.55x = 35,363,995.88
  5. Step 5: Solve for x
    x = 35,363,995.88/5,349.55
  6. Step 6: Final answer
    x = 6,610.65

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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.