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Finding the Fourth Proportional to 4,830.34, 6,666.24 and 2,734.78

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Solution

The fourth proportional to 4,830.34, 6,666.24 and 2,734.78 is: 3,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.34 : 6,666.24 = 2,734.78 : x
  2. Step 2: Convert to fraction form
    4,830.34/6,666.24 = 2,734.78/x
  3. Step 3: Cross multiply
    4,830.34x = 6,666.24 × 2,734.78
  4. Step 4: Simplify right side
    4,830.34x = 18,230,699.83
  5. Step 5: Solve for x
    x = 18,230,699.83/4,830.34
  6. Step 6: Final answer
    x = 3,774.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.