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Finding the Fourth Proportional to 3,696.53, 5,101.10 and 2,017.93

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Solution

The fourth proportional to 3,696.53, 5,101.10 and 2,017.93 is: 2,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.53 : 5,101.10 = 2,017.93 : x
  2. Step 2: Convert to fraction form
    3,696.53/5,101.10 = 2,017.93/x
  3. Step 3: Cross multiply
    3,696.53x = 5,101.10 × 2,017.93
  4. Step 4: Simplify right side
    3,696.53x = 10,293,627.13
  5. Step 5: Solve for x
    x = 10,293,627.13/3,696.53
  6. Step 6: Final answer
    x = 2,784.67

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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.