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Finding the Fourth Proportional to 4,062.71, 6,094.06 and 1,465.65

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Solution

The fourth proportional to 4,062.71, 6,094.06 and 1,465.65 is: 2,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.71 : 6,094.06 = 1,465.65 : x
  2. Step 2: Convert to fraction form
    4,062.71/6,094.06 = 1,465.65/x
  3. Step 3: Cross multiply
    4,062.71x = 6,094.06 × 1,465.65
  4. Step 4: Simplify right side
    4,062.71x = 8,931,728.57
  5. Step 5: Solve for x
    x = 8,931,728.57/4,062.71
  6. Step 6: Final answer
    x = 2,198.47

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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.