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Finding the Fourth Proportional to 4,572.48, 6,858.24 and 1,649.28

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Solution

The fourth proportional to 4,572.48, 6,858.24 and 1,649.28 is: 2,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.48 : 6,858.24 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    4,572.48/6,858.24 = 1,649.28/x
  3. Step 3: Cross multiply
    4,572.48x = 6,858.24 × 1,649.28
  4. Step 4: Simplify right side
    4,572.48x = 11,311,158.07
  5. Step 5: Solve for x
    x = 11,311,158.07/4,572.48
  6. Step 6: Final answer
    x = 2,473.75

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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.