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Finding the Fourth Proportional to 3,214.47, 4,808.37 and 3,017.64

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Solution

The fourth proportional to 3,214.47, 4,808.37 and 3,017.64 is: 4,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.47 : 4,808.37 = 3,017.64 : x
  2. Step 2: Convert to fraction form
    3,214.47/4,808.37 = 3,017.64/x
  3. Step 3: Cross multiply
    3,214.47x = 4,808.37 × 3,017.64
  4. Step 4: Simplify right side
    3,214.47x = 14,509,929.65
  5. Step 5: Solve for x
    x = 14,509,929.65/3,214.47
  6. Step 6: Final answer
    x = 4,513.94

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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.