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Finding the Fourth Proportional to 5,587.90, 8,383.06 and 1,692

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Solution

The fourth proportional to 5,587.90, 8,383.06 and 1,692 is: 2,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.90 : 8,383.06 = 1,692 : x
  2. Step 2: Convert to fraction form
    5,587.90/8,383.06 = 1,692/x
  3. Step 3: Cross multiply
    5,587.90x = 8,383.06 × 1,692
  4. Step 4: Simplify right side
    5,587.90x = 14,184,139.64
  5. Step 5: Solve for x
    x = 14,184,139.64/5,587.90
  6. Step 6: Final answer
    x = 2,538.37

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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.