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Finding the Fourth Proportional to 3,005.86, 4,510.28 and 2,029.82

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Solution

The fourth proportional to 3,005.86, 4,510.28 and 2,029.82 is: 3,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.86 : 4,510.28 = 2,029.82 : x
  2. Step 2: Convert to fraction form
    3,005.86/4,510.28 = 2,029.82/x
  3. Step 3: Cross multiply
    3,005.86x = 4,510.28 × 2,029.82
  4. Step 4: Simplify right side
    3,005.86x = 9,155,056.55
  5. Step 5: Solve for x
    x = 9,155,056.55/3,005.86
  6. Step 6: Final answer
    x = 3,045.74

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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.