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Finding the Fourth Proportional to 5,602.25, 7,731.24 and 3,364.22

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Solution

The fourth proportional to 5,602.25, 7,731.24 and 3,364.22 is: 4,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.25 : 7,731.24 = 3,364.22 : x
  2. Step 2: Convert to fraction form
    5,602.25/7,731.24 = 3,364.22/x
  3. Step 3: Cross multiply
    5,602.25x = 7,731.24 × 3,364.22
  4. Step 4: Simplify right side
    5,602.25x = 26,009,592.23
  5. Step 5: Solve for x
    x = 26,009,592.23/5,602.25
  6. Step 6: Final answer
    x = 4,642.70

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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.