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Finding the Fourth Proportional to 5,978.52, 8,971 and 2,900.52

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Solution

The fourth proportional to 5,978.52, 8,971 and 2,900.52 is: 4,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.52 : 8,971 = 2,900.52 : x
  2. Step 2: Convert to fraction form
    5,978.52/8,971 = 2,900.52/x
  3. Step 3: Cross multiply
    5,978.52x = 8,971 × 2,900.52
  4. Step 4: Simplify right side
    5,978.52x = 26,020,564.92
  5. Step 5: Solve for x
    x = 26,020,564.92/5,978.52
  6. Step 6: Final answer
    x = 4,352.34

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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.