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Finding the Fourth Proportional to 4,320.44, 5,962.16 and 2,457.44

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Solution

The fourth proportional to 4,320.44, 5,962.16 and 2,457.44 is: 3,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.44 : 5,962.16 = 2,457.44 : x
  2. Step 2: Convert to fraction form
    4,320.44/5,962.16 = 2,457.44/x
  3. Step 3: Cross multiply
    4,320.44x = 5,962.16 × 2,457.44
  4. Step 4: Simplify right side
    4,320.44x = 14,651,650.47
  5. Step 5: Solve for x
    x = 14,651,650.47/4,320.44
  6. Step 6: Final answer
    x = 3,391.24

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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.