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Finding the Fourth Proportional to 4,865.00, 6,706.93 and 4,111.90

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Solution

The fourth proportional to 4,865.00, 6,706.93 and 4,111.90 is: 5,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.00 : 6,706.93 = 4,111.90 : x
  2. Step 2: Convert to fraction form
    4,865.00/6,706.93 = 4,111.90/x
  3. Step 3: Cross multiply
    4,865.00x = 6,706.93 × 4,111.90
  4. Step 4: Simplify right side
    4,865.00x = 27,578,194.57
  5. Step 5: Solve for x
    x = 27,578,194.57/4,865.00
  6. Step 6: Final answer
    x = 5,668.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.