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Finding the Fourth Proportional to 5,058.44, 7,588.62 and 2,869.64

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Solution

The fourth proportional to 5,058.44, 7,588.62 and 2,869.64 is: 4,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.44 : 7,588.62 = 2,869.64 : x
  2. Step 2: Convert to fraction form
    5,058.44/7,588.62 = 2,869.64/x
  3. Step 3: Cross multiply
    5,058.44x = 7,588.62 × 2,869.64
  4. Step 4: Simplify right side
    5,058.44x = 21,776,607.50
  5. Step 5: Solve for x
    x = 21,776,607.50/5,058.44
  6. Step 6: Final answer
    x = 4,305.00

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Why These Related Problems?

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