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Finding the Fourth Proportional to 5,302.70, 7,952.03 and 1,603.70

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Solution

The fourth proportional to 5,302.70, 7,952.03 and 1,603.70 is: 2,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.70 : 7,952.03 = 1,603.70 : x
  2. Step 2: Convert to fraction form
    5,302.70/7,952.03 = 1,603.70/x
  3. Step 3: Cross multiply
    5,302.70x = 7,952.03 × 1,603.70
  4. Step 4: Simplify right side
    5,302.70x = 12,752,662.49
  5. Step 5: Solve for x
    x = 12,752,662.49/5,302.70
  6. Step 6: Final answer
    x = 2,404.94

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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.