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Finding the Fourth Proportional to 5,699.48, 7,859.08 and 3,706.34

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Solution

The fourth proportional to 5,699.48, 7,859.08 and 3,706.34 is: 5,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.48 : 7,859.08 = 3,706.34 : x
  2. Step 2: Convert to fraction form
    5,699.48/7,859.08 = 3,706.34/x
  3. Step 3: Cross multiply
    5,699.48x = 7,859.08 × 3,706.34
  4. Step 4: Simplify right side
    5,699.48x = 29,128,442.54
  5. Step 5: Solve for x
    x = 29,128,442.54/5,699.48
  6. Step 6: Final answer
    x = 5,110.72

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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.