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Finding the Fourth Proportional to 3,970.85, 5,946.35 and 2,802.02

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Solution

The fourth proportional to 3,970.85, 5,946.35 and 2,802.02 is: 4,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.85 : 5,946.35 = 2,802.02 : x
  2. Step 2: Convert to fraction form
    3,970.85/5,946.35 = 2,802.02/x
  3. Step 3: Cross multiply
    3,970.85x = 5,946.35 × 2,802.02
  4. Step 4: Simplify right side
    3,970.85x = 16,661,747.89
  5. Step 5: Solve for x
    x = 16,661,747.89/3,970.85
  6. Step 6: Final answer
    x = 4,196.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.