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Finding the Fourth Proportional to 5,066.52, 7,600.05 and 1,603.50

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Solution

The fourth proportional to 5,066.52, 7,600.05 and 1,603.50 is: 2,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.52 : 7,600.05 = 1,603.50 : x
  2. Step 2: Convert to fraction form
    5,066.52/7,600.05 = 1,603.50/x
  3. Step 3: Cross multiply
    5,066.52x = 7,600.05 × 1,603.50
  4. Step 4: Simplify right side
    5,066.52x = 12,186,680.18
  5. Step 5: Solve for x
    x = 12,186,680.18/5,066.52
  6. Step 6: Final answer
    x = 2,405.34

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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.