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Finding the Fourth Proportional to 6,145.04, 9,164.08 and 5,799.98

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Solution

The fourth proportional to 6,145.04, 9,164.08 and 5,799.98 is: 8,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.04 : 9,164.08 = 5,799.98 : x
  2. Step 2: Convert to fraction form
    6,145.04/9,164.08 = 5,799.98/x
  3. Step 3: Cross multiply
    6,145.04x = 9,164.08 × 5,799.98
  4. Step 4: Simplify right side
    6,145.04x = 53,151,480.72
  5. Step 5: Solve for x
    x = 53,151,480.72/6,145.04
  6. Step 6: Final answer
    x = 8,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.