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Finding the Fourth Proportional to 3,696.66, 5,098.50 and 2,370.51

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Solution

The fourth proportional to 3,696.66, 5,098.50 and 2,370.51 is: 3,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.66 : 5,098.50 = 2,370.51 : x
  2. Step 2: Convert to fraction form
    3,696.66/5,098.50 = 2,370.51/x
  3. Step 3: Cross multiply
    3,696.66x = 5,098.50 × 2,370.51
  4. Step 4: Simplify right side
    3,696.66x = 12,086,045.24
  5. Step 5: Solve for x
    x = 12,086,045.24/3,696.66
  6. Step 6: Final answer
    x = 3,269.45

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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.