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Finding the Fourth Proportional to 5,654.02, 7,802.81 and 3,136.41

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Solution

The fourth proportional to 5,654.02, 7,802.81 and 3,136.41 is: 4,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.02 : 7,802.81 = 3,136.41 : x
  2. Step 2: Convert to fraction form
    5,654.02/7,802.81 = 3,136.41/x
  3. Step 3: Cross multiply
    5,654.02x = 7,802.81 × 3,136.41
  4. Step 4: Simplify right side
    5,654.02x = 24,472,811.31
  5. Step 5: Solve for x
    x = 24,472,811.31/5,654.02
  6. Step 6: Final answer
    x = 4,328.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.