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Finding the Fourth Proportional to 5,697.35, 7,862.07 and 4,204.72

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Solution

The fourth proportional to 5,697.35, 7,862.07 and 4,204.72 is: 5,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.35 : 7,862.07 = 4,204.72 : x
  2. Step 2: Convert to fraction form
    5,697.35/7,862.07 = 4,204.72/x
  3. Step 3: Cross multiply
    5,697.35x = 7,862.07 × 4,204.72
  4. Step 4: Simplify right side
    5,697.35x = 33,057,828.57
  5. Step 5: Solve for x
    x = 33,057,828.57/5,697.35
  6. Step 6: Final answer
    x = 5,802.32

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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.