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Finding the Fourth Proportional to 5,587.54, 7,761.34 and 5,498.22

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Solution

The fourth proportional to 5,587.54, 7,761.34 and 5,498.22 is: 7,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.54 : 7,761.34 = 5,498.22 : x
  2. Step 2: Convert to fraction form
    5,587.54/7,761.34 = 5,498.22/x
  3. Step 3: Cross multiply
    5,587.54x = 7,761.34 × 5,498.22
  4. Step 4: Simplify right side
    5,587.54x = 42,673,554.81
  5. Step 5: Solve for x
    x = 42,673,554.81/5,587.54
  6. Step 6: Final answer
    x = 7,637.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.