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Finding the Fourth Proportional to 4,166.65, 6,243.05 and 2,931.46

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Solution

The fourth proportional to 4,166.65, 6,243.05 and 2,931.46 is: 4,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.65 : 6,243.05 = 2,931.46 : x
  2. Step 2: Convert to fraction form
    4,166.65/6,243.05 = 2,931.46/x
  3. Step 3: Cross multiply
    4,166.65x = 6,243.05 × 2,931.46
  4. Step 4: Simplify right side
    4,166.65x = 18,301,244.02
  5. Step 5: Solve for x
    x = 18,301,244.02/4,166.65
  6. Step 6: Final answer
    x = 4,392.32

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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.