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Finding the Fourth Proportional to 3,497.41, 5,246.18 and 1,032.28

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Solution

The fourth proportional to 3,497.41, 5,246.18 and 1,032.28 is: 1,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.41 : 5,246.18 = 1,032.28 : x
  2. Step 2: Convert to fraction form
    3,497.41/5,246.18 = 1,032.28/x
  3. Step 3: Cross multiply
    3,497.41x = 5,246.18 × 1,032.28
  4. Step 4: Simplify right side
    3,497.41x = 5,415,526.69
  5. Step 5: Solve for x
    x = 5,415,526.69/3,497.41
  6. Step 6: Final answer
    x = 1,548.44

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1.5x scale

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.