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Finding the Fourth Proportional to 3,102.09, 4,652.23 and 3,070.66

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Solution

The fourth proportional to 3,102.09, 4,652.23 and 3,070.66 is: 4,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.09 : 4,652.23 = 3,070.66 : x
  2. Step 2: Convert to fraction form
    3,102.09/4,652.23 = 3,070.66/x
  3. Step 3: Cross multiply
    3,102.09x = 4,652.23 × 3,070.66
  4. Step 4: Simplify right side
    3,102.09x = 14,285,377.96
  5. Step 5: Solve for x
    x = 14,285,377.96/3,102.09
  6. Step 6: Final answer
    x = 4,605.08

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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.