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Finding the Fourth Proportional to 4,094.38, 6,139.65 and 2,430.22

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Solution

The fourth proportional to 4,094.38, 6,139.65 and 2,430.22 is: 3,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.38 : 6,139.65 = 2,430.22 : x
  2. Step 2: Convert to fraction form
    4,094.38/6,139.65 = 2,430.22/x
  3. Step 3: Cross multiply
    4,094.38x = 6,139.65 × 2,430.22
  4. Step 4: Simplify right side
    4,094.38x = 14,920,700.22
  5. Step 5: Solve for x
    x = 14,920,700.22/4,094.38
  6. Step 6: Final answer
    x = 3,644.19

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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.