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Finding the Fourth Proportional to 4,751.49, 7,127.16 and 1,830.45

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Solution

The fourth proportional to 4,751.49, 7,127.16 and 1,830.45 is: 2,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.49 : 7,127.16 = 1,830.45 : x
  2. Step 2: Convert to fraction form
    4,751.49/7,127.16 = 1,830.45/x
  3. Step 3: Cross multiply
    4,751.49x = 7,127.16 × 1,830.45
  4. Step 4: Simplify right side
    4,751.49x = 13,045,910.02
  5. Step 5: Solve for x
    x = 13,045,910.02/4,751.49
  6. Step 6: Final answer
    x = 2,745.65

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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.