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Finding the Fourth Proportional to 4,653.33, 6,971.85 and 3,878.31

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Solution

The fourth proportional to 4,653.33, 6,971.85 and 3,878.31 is: 5,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.33 : 6,971.85 = 3,878.31 : x
  2. Step 2: Convert to fraction form
    4,653.33/6,971.85 = 3,878.31/x
  3. Step 3: Cross multiply
    4,653.33x = 6,971.85 × 3,878.31
  4. Step 4: Simplify right side
    4,653.33x = 27,038,995.57
  5. Step 5: Solve for x
    x = 27,038,995.57/4,653.33
  6. Step 6: Final answer
    x = 5,810.68

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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.