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Finding the Fourth Proportional to 4,530.48, 6,797.16 and 2,582.16

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Solution

The fourth proportional to 4,530.48, 6,797.16 and 2,582.16 is: 3,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.48 : 6,797.16 = 2,582.16 : x
  2. Step 2: Convert to fraction form
    4,530.48/6,797.16 = 2,582.16/x
  3. Step 3: Cross multiply
    4,530.48x = 6,797.16 × 2,582.16
  4. Step 4: Simplify right side
    4,530.48x = 17,551,354.67
  5. Step 5: Solve for x
    x = 17,551,354.67/4,530.48
  6. Step 6: Final answer
    x = 3,874.06

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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.