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Finding the Fourth Proportional to 5,985.64, 8,975.82 and 3,211.84

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Solution

The fourth proportional to 5,985.64, 8,975.82 and 3,211.84 is: 4,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.64 : 8,975.82 = 3,211.84 : x
  2. Step 2: Convert to fraction form
    5,985.64/8,975.82 = 3,211.84/x
  3. Step 3: Cross multiply
    5,985.64x = 8,975.82 × 3,211.84
  4. Step 4: Simplify right side
    5,985.64x = 28,828,897.71
  5. Step 5: Solve for x
    x = 28,828,897.71/5,985.64
  6. Step 6: Final answer
    x = 4,816.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.