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Finding the Fourth Proportional to 5,730.32, 8,594.12 and 4,188.50

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Solution

The fourth proportional to 5,730.32, 8,594.12 and 4,188.50 is: 6,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.32 : 8,594.12 = 4,188.50 : x
  2. Step 2: Convert to fraction form
    5,730.32/8,594.12 = 4,188.50/x
  3. Step 3: Cross multiply
    5,730.32x = 8,594.12 × 4,188.50
  4. Step 4: Simplify right side
    5,730.32x = 35,996,471.62
  5. Step 5: Solve for x
    x = 35,996,471.62/5,730.32
  6. Step 6: Final answer
    x = 6,281.76

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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.