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Finding the Fourth Proportional to 4,822.34, 7,235.12 and 1,899.05

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Solution

The fourth proportional to 4,822.34, 7,235.12 and 1,899.05 is: 2,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.34 : 7,235.12 = 1,899.05 : x
  2. Step 2: Convert to fraction form
    4,822.34/7,235.12 = 1,899.05/x
  3. Step 3: Cross multiply
    4,822.34x = 7,235.12 × 1,899.05
  4. Step 4: Simplify right side
    4,822.34x = 13,739,823.21
  5. Step 5: Solve for x
    x = 13,739,823.21/4,822.34
  6. Step 6: Final answer
    x = 2,849.21

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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.