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Finding the Fourth Proportional to 4,657.50, 6,988.28 and 2,319.84

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Solution

The fourth proportional to 4,657.50, 6,988.28 and 2,319.84 is: 3,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 6,988.28 = 2,319.84 : x
  2. Step 2: Convert to fraction form
    4,657.50/6,988.28 = 2,319.84/x
  3. Step 3: Cross multiply
    4,657.50x = 6,988.28 × 2,319.84
  4. Step 4: Simplify right side
    4,657.50x = 16,211,679.88
  5. Step 5: Solve for x
    x = 16,211,679.88/4,657.50
  6. Step 6: Final answer
    x = 3,480.77

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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.