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Finding the Fourth Proportional to 5,037.50, 6,951.76 and 2,829.50

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Solution

The fourth proportional to 5,037.50, 6,951.76 and 2,829.50 is: 3,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.50 : 6,951.76 = 2,829.50 : x
  2. Step 2: Convert to fraction form
    5,037.50/6,951.76 = 2,829.50/x
  3. Step 3: Cross multiply
    5,037.50x = 6,951.76 × 2,829.50
  4. Step 4: Simplify right side
    5,037.50x = 19,670,004.92
  5. Step 5: Solve for x
    x = 19,670,004.92/5,037.50
  6. Step 6: Final answer
    x = 3,904.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.