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Finding the Fourth Proportional to 5,696.58, 7,862.04 and 3,459.36

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Solution

The fourth proportional to 5,696.58, 7,862.04 and 3,459.36 is: 4,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.58 : 7,862.04 = 3,459.36 : x
  2. Step 2: Convert to fraction form
    5,696.58/7,862.04 = 3,459.36/x
  3. Step 3: Cross multiply
    5,696.58x = 7,862.04 × 3,459.36
  4. Step 4: Simplify right side
    5,696.58x = 27,197,626.69
  5. Step 5: Solve for x
    x = 27,197,626.69/5,696.58
  6. Step 6: Final answer
    x = 4,774.38

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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.