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Finding the Fourth Proportional to 5,819.70, 8,730.70 and 1,924.08

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Solution

The fourth proportional to 5,819.70, 8,730.70 and 1,924.08 is: 2,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.70 : 8,730.70 = 1,924.08 : x
  2. Step 2: Convert to fraction form
    5,819.70/8,730.70 = 1,924.08/x
  3. Step 3: Cross multiply
    5,819.70x = 8,730.70 × 1,924.08
  4. Step 4: Simplify right side
    5,819.70x = 16,798,565.26
  5. Step 5: Solve for x
    x = 16,798,565.26/5,819.70
  6. Step 6: Final answer
    x = 2,886.50

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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.