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Finding the Fourth Proportional to 5,986.15, 8,978.64 and 2,475.16

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Solution

The fourth proportional to 5,986.15, 8,978.64 and 2,475.16 is: 3,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.15 : 8,978.64 = 2,475.16 : x
  2. Step 2: Convert to fraction form
    5,986.15/8,978.64 = 2,475.16/x
  3. Step 3: Cross multiply
    5,986.15x = 8,978.64 × 2,475.16
  4. Step 4: Simplify right side
    5,986.15x = 22,223,570.58
  5. Step 5: Solve for x
    x = 22,223,570.58/5,986.15
  6. Step 6: Final answer
    x = 3,712.50

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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.