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Finding the Fourth Proportional to 5,603.96, 8,401.76 and 5,251.28

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Solution

The fourth proportional to 5,603.96, 8,401.76 and 5,251.28 is: 7,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.96 : 8,401.76 = 5,251.28 : x
  2. Step 2: Convert to fraction form
    5,603.96/8,401.76 = 5,251.28/x
  3. Step 3: Cross multiply
    5,603.96x = 8,401.76 × 5,251.28
  4. Step 4: Simplify right side
    5,603.96x = 44,119,994.25
  5. Step 5: Solve for x
    x = 44,119,994.25/5,603.96
  6. Step 6: Final answer
    x = 7,873.00

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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.