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Finding the Fourth Proportional to 5,003.50, 7,508.52 and 1,925.50

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Solution

The fourth proportional to 5,003.50, 7,508.52 and 1,925.50 is: 2,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.50 : 7,508.52 = 1,925.50 : x
  2. Step 2: Convert to fraction form
    5,003.50/7,508.52 = 1,925.50/x
  3. Step 3: Cross multiply
    5,003.50x = 7,508.52 × 1,925.50
  4. Step 4: Simplify right side
    5,003.50x = 14,457,655.26
  5. Step 5: Solve for x
    x = 14,457,655.26/5,003.50
  6. Step 6: Final answer
    x = 2,889.51

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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.