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Finding the Fourth Proportional to 4,853.02, 7,275 and 1,730.86

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Solution

The fourth proportional to 4,853.02, 7,275 and 1,730.86 is: 2,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.02 : 7,275 = 1,730.86 : x
  2. Step 2: Convert to fraction form
    4,853.02/7,275 = 1,730.86/x
  3. Step 3: Cross multiply
    4,853.02x = 7,275 × 1,730.86
  4. Step 4: Simplify right side
    4,853.02x = 12,592,006.50
  5. Step 5: Solve for x
    x = 12,592,006.50/4,853.02
  6. Step 6: Final answer
    x = 2,594.67

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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.