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Finding the Fourth Proportional to 3,597, 5,395.50 and 999.93

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Solution

The fourth proportional to 3,597, 5,395.50 and 999.93 is: 1,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597 : 5,395.50 = 999.93 : x
  2. Step 2: Convert to fraction form
    3,597/5,395.50 = 999.93/x
  3. Step 3: Cross multiply
    3,597x = 5,395.50 × 999.93
  4. Step 4: Simplify right side
    3,597x = 5,395,122.32
  5. Step 5: Solve for x
    x = 5,395,122.32/3,597
  6. Step 6: Final answer
    x = 1,499.90

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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.