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Finding the Fourth Proportional to 4,970.30, 7,446.08 and 4,153.82

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Solution

The fourth proportional to 4,970.30, 7,446.08 and 4,153.82 is: 6,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.30 : 7,446.08 = 4,153.82 : x
  2. Step 2: Convert to fraction form
    4,970.30/7,446.08 = 4,153.82/x
  3. Step 3: Cross multiply
    4,970.30x = 7,446.08 × 4,153.82
  4. Step 4: Simplify right side
    4,970.30x = 30,929,676.03
  5. Step 5: Solve for x
    x = 30,929,676.03/4,970.30
  6. Step 6: Final answer
    x = 6,222.90

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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.