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Finding the Fourth Proportional to 5,985.04, 8,978.14 and 2,039.08

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Solution

The fourth proportional to 5,985.04, 8,978.14 and 2,039.08 is: 3,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.04 : 8,978.14 = 2,039.08 : x
  2. Step 2: Convert to fraction form
    5,985.04/8,978.14 = 2,039.08/x
  3. Step 3: Cross multiply
    5,985.04x = 8,978.14 × 2,039.08
  4. Step 4: Simplify right side
    5,985.04x = 18,307,145.71
  5. Step 5: Solve for x
    x = 18,307,145.71/5,985.04
  6. Step 6: Final answer
    x = 3,058.82

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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.