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Finding the Fourth Proportional to 3,699.65, 5,106.90 and 2,302.13

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Solution

The fourth proportional to 3,699.65, 5,106.90 and 2,302.13 is: 3,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.65 : 5,106.90 = 2,302.13 : x
  2. Step 2: Convert to fraction form
    3,699.65/5,106.90 = 2,302.13/x
  3. Step 3: Cross multiply
    3,699.65x = 5,106.90 × 2,302.13
  4. Step 4: Simplify right side
    3,699.65x = 11,756,722.16
  5. Step 5: Solve for x
    x = 11,756,722.16/3,699.65
  6. Step 6: Final answer
    x = 3,177.80

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