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Finding the Fourth Proportional to 5,498.34, 7,587.76 and 3,108.21

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Solution

The fourth proportional to 5,498.34, 7,587.76 and 3,108.21 is: 4,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.34 : 7,587.76 = 3,108.21 : x
  2. Step 2: Convert to fraction form
    5,498.34/7,587.76 = 3,108.21/x
  3. Step 3: Cross multiply
    5,498.34x = 7,587.76 × 3,108.21
  4. Step 4: Simplify right side
    5,498.34x = 23,584,351.51
  5. Step 5: Solve for x
    x = 23,584,351.51/5,498.34
  6. Step 6: Final answer
    x = 4,289.36

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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.