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Finding the Fourth Proportional to 4,258, 6,382.43 and 2,061.89

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Solution

The fourth proportional to 4,258, 6,382.43 and 2,061.89 is: 3,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258 : 6,382.43 = 2,061.89 : x
  2. Step 2: Convert to fraction form
    4,258/6,382.43 = 2,061.89/x
  3. Step 3: Cross multiply
    4,258x = 6,382.43 × 2,061.89
  4. Step 4: Simplify right side
    4,258x = 13,159,868.59
  5. Step 5: Solve for x
    x = 13,159,868.59/4,258
  6. Step 6: Final answer
    x = 3,090.62

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Why These Related Problems?

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