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Finding the Fourth Proportional to 5,052.88, 7,582.86 and 2,829.40

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Solution

The fourth proportional to 5,052.88, 7,582.86 and 2,829.40 is: 4,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.88 : 7,582.86 = 2,829.40 : x
  2. Step 2: Convert to fraction form
    5,052.88/7,582.86 = 2,829.40/x
  3. Step 3: Cross multiply
    5,052.88x = 7,582.86 × 2,829.40
  4. Step 4: Simplify right side
    5,052.88x = 21,454,944.08
  5. Step 5: Solve for x
    x = 21,454,944.08/5,052.88
  6. Step 6: Final answer
    x = 4,246.08

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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.