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Finding the Fourth Proportional to 5,070.41, 7,606.82 and 1,607.66

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Solution

The fourth proportional to 5,070.41, 7,606.82 and 1,607.66 is: 2,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.41 : 7,606.82 = 1,607.66 : x
  2. Step 2: Convert to fraction form
    5,070.41/7,606.82 = 1,607.66/x
  3. Step 3: Cross multiply
    5,070.41x = 7,606.82 × 1,607.66
  4. Step 4: Simplify right side
    5,070.41x = 12,229,180.24
  5. Step 5: Solve for x
    x = 12,229,180.24/5,070.41
  6. Step 6: Final answer
    x = 2,411.87

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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.