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Finding the Fourth Proportional to 4,899.12, 7,348.14 and 1,779

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Solution

The fourth proportional to 4,899.12, 7,348.14 and 1,779 is: 2,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.12 : 7,348.14 = 1,779 : x
  2. Step 2: Convert to fraction form
    4,899.12/7,348.14 = 1,779/x
  3. Step 3: Cross multiply
    4,899.12x = 7,348.14 × 1,779
  4. Step 4: Simplify right side
    4,899.12x = 13,072,341.06
  5. Step 5: Solve for x
    x = 13,072,341.06/4,899.12
  6. Step 6: Final answer
    x = 2,668.30

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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.