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Finding the Fourth Proportional to 4,770.15, 7,153.05 and 3,102.63

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Solution

The fourth proportional to 4,770.15, 7,153.05 and 3,102.63 is: 4,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.15 : 7,153.05 = 3,102.63 : x
  2. Step 2: Convert to fraction form
    4,770.15/7,153.05 = 3,102.63/x
  3. Step 3: Cross multiply
    4,770.15x = 7,153.05 × 3,102.63
  4. Step 4: Simplify right side
    4,770.15x = 22,193,267.52
  5. Step 5: Solve for x
    x = 22,193,267.52/4,770.15
  6. Step 6: Final answer
    x = 4,652.53

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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.