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Finding the Fourth Proportional to 4,038.85, 6,056.02 and 1,696.33

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Solution

The fourth proportional to 4,038.85, 6,056.02 and 1,696.33 is: 2,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.85 : 6,056.02 = 1,696.33 : x
  2. Step 2: Convert to fraction form
    4,038.85/6,056.02 = 1,696.33/x
  3. Step 3: Cross multiply
    4,038.85x = 6,056.02 × 1,696.33
  4. Step 4: Simplify right side
    4,038.85x = 10,273,008.41
  5. Step 5: Solve for x
    x = 10,273,008.41/4,038.85
  6. Step 6: Final answer
    x = 2,543.55

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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.