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Finding the Fourth Proportional to 5,985.36, 8,994.24 and 3,214.08

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Solution

The fourth proportional to 5,985.36, 8,994.24 and 3,214.08 is: 4,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.36 : 8,994.24 = 3,214.08 : x
  2. Step 2: Convert to fraction form
    5,985.36/8,994.24 = 3,214.08/x
  3. Step 3: Cross multiply
    5,985.36x = 8,994.24 × 3,214.08
  4. Step 4: Simplify right side
    5,985.36x = 28,908,206.90
  5. Step 5: Solve for x
    x = 28,908,206.90/5,985.36
  6. Step 6: Final answer
    x = 4,829.82

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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.