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Finding the Fourth Proportional to 3,052.50, 4,565.90 and 2,830.92

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Solution

The fourth proportional to 3,052.50, 4,565.90 and 2,830.92 is: 4,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.50 : 4,565.90 = 2,830.92 : x
  2. Step 2: Convert to fraction form
    3,052.50/4,565.90 = 2,830.92/x
  3. Step 3: Cross multiply
    3,052.50x = 4,565.90 × 2,830.92
  4. Step 4: Simplify right side
    3,052.50x = 12,925,697.63
  5. Step 5: Solve for x
    x = 12,925,697.63/3,052.50
  6. Step 6: Final answer
    x = 4,234.46

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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.