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Finding the Fourth Proportional to 5,972.52, 8,958.62 and 1,590.02

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Solution

The fourth proportional to 5,972.52, 8,958.62 and 1,590.02 is: 2,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.52 : 8,958.62 = 1,590.02 : x
  2. Step 2: Convert to fraction form
    5,972.52/8,958.62 = 1,590.02/x
  3. Step 3: Cross multiply
    5,972.52x = 8,958.62 × 1,590.02
  4. Step 4: Simplify right side
    5,972.52x = 14,244,332.23
  5. Step 5: Solve for x
    x = 14,244,332.23/5,972.52
  6. Step 6: Final answer
    x = 2,384.98

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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.