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Finding the Fourth Proportional to 5,000.70, 7,501.05 and 4,198.80

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Solution

The fourth proportional to 5,000.70, 7,501.05 and 4,198.80 is: 6,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.70 : 7,501.05 = 4,198.80 : x
  2. Step 2: Convert to fraction form
    5,000.70/7,501.05 = 4,198.80/x
  3. Step 3: Cross multiply
    5,000.70x = 7,501.05 × 4,198.80
  4. Step 4: Simplify right side
    5,000.70x = 31,495,408.74
  5. Step 5: Solve for x
    x = 31,495,408.74/5,000.70
  6. Step 6: Final answer
    x = 6,298.20

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