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Finding the Fourth Proportional to 5,058.25, 7,587.34 and 1,548.25

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Solution

The fourth proportional to 5,058.25, 7,587.34 and 1,548.25 is: 2,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.25 : 7,587.34 = 1,548.25 : x
  2. Step 2: Convert to fraction form
    5,058.25/7,587.34 = 1,548.25/x
  3. Step 3: Cross multiply
    5,058.25x = 7,587.34 × 1,548.25
  4. Step 4: Simplify right side
    5,058.25x = 11,747,076.32
  5. Step 5: Solve for x
    x = 11,747,076.32/5,058.25
  6. Step 6: Final answer
    x = 2,322.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.