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Finding the Fourth Proportional to 4,770.49, 7,156.23 and 1,650.10

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Solution

The fourth proportional to 4,770.49, 7,156.23 and 1,650.10 is: 2,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.49 : 7,156.23 = 1,650.10 : x
  2. Step 2: Convert to fraction form
    4,770.49/7,156.23 = 1,650.10/x
  3. Step 3: Cross multiply
    4,770.49x = 7,156.23 × 1,650.10
  4. Step 4: Simplify right side
    4,770.49x = 11,808,495.12
  5. Step 5: Solve for x
    x = 11,808,495.12/4,770.49
  6. Step 6: Final answer
    x = 2,475.32

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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.