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Finding the Fourth Proportional to 5,985.86, 8,978.80 and 5,977.21

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Solution

The fourth proportional to 5,985.86, 8,978.80 and 5,977.21 is: 8,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.86 : 8,978.80 = 5,977.21 : x
  2. Step 2: Convert to fraction form
    5,985.86/8,978.80 = 5,977.21/x
  3. Step 3: Cross multiply
    5,985.86x = 8,978.80 × 5,977.21
  4. Step 4: Simplify right side
    5,985.86x = 53,668,127.11
  5. Step 5: Solve for x
    x = 53,668,127.11/5,985.86
  6. Step 6: Final answer
    x = 8,965.82

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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.