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Finding the Fourth Proportional to 3,698.04, 5,096.28 and 2,648.28

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Solution

The fourth proportional to 3,698.04, 5,096.28 and 2,648.28 is: 3,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.04 : 5,096.28 = 2,648.28 : x
  2. Step 2: Convert to fraction form
    3,698.04/5,096.28 = 2,648.28/x
  3. Step 3: Cross multiply
    3,698.04x = 5,096.28 × 2,648.28
  4. Step 4: Simplify right side
    3,698.04x = 13,496,376.40
  5. Step 5: Solve for x
    x = 13,496,376.40/3,698.04
  6. Step 6: Final answer
    x = 3,649.60

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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.