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Finding the Fourth Proportional to 4,070.66, 5,617.34 and 2,302.22

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Solution

The fourth proportional to 4,070.66, 5,617.34 and 2,302.22 is: 3,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.66 : 5,617.34 = 2,302.22 : x
  2. Step 2: Convert to fraction form
    4,070.66/5,617.34 = 2,302.22/x
  3. Step 3: Cross multiply
    4,070.66x = 5,617.34 × 2,302.22
  4. Step 4: Simplify right side
    4,070.66x = 12,932,312.90
  5. Step 5: Solve for x
    x = 12,932,312.90/4,070.66
  6. Step 6: Final answer
    x = 3,176.96

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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.