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Finding the Fourth Proportional to 5,602.47, 7,731.34 and 3,084.58

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Solution

The fourth proportional to 5,602.47, 7,731.34 and 3,084.58 is: 4,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.47 : 7,731.34 = 3,084.58 : x
  2. Step 2: Convert to fraction form
    5,602.47/7,731.34 = 3,084.58/x
  3. Step 3: Cross multiply
    5,602.47x = 7,731.34 × 3,084.58
  4. Step 4: Simplify right side
    5,602.47x = 23,847,936.74
  5. Step 5: Solve for x
    x = 23,847,936.74/5,602.47
  6. Step 6: Final answer
    x = 4,256.68

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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.