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Finding the Fourth Proportional to 4,800.34, 7,197.42 and 2,026.25

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Solution

The fourth proportional to 4,800.34, 7,197.42 and 2,026.25 is: 3,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.34 : 7,197.42 = 2,026.25 : x
  2. Step 2: Convert to fraction form
    4,800.34/7,197.42 = 2,026.25/x
  3. Step 3: Cross multiply
    4,800.34x = 7,197.42 × 2,026.25
  4. Step 4: Simplify right side
    4,800.34x = 14,583,772.28
  5. Step 5: Solve for x
    x = 14,583,772.28/4,800.34
  6. Step 6: Final answer
    x = 3,038.07

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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.