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Finding the Fourth Proportional to 4,698.76, 7,043.98 and 1,775.02

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Solution

The fourth proportional to 4,698.76, 7,043.98 and 1,775.02 is: 2,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.76 : 7,043.98 = 1,775.02 : x
  2. Step 2: Convert to fraction form
    4,698.76/7,043.98 = 1,775.02/x
  3. Step 3: Cross multiply
    4,698.76x = 7,043.98 × 1,775.02
  4. Step 4: Simplify right side
    4,698.76x = 12,503,205.38
  5. Step 5: Solve for x
    x = 12,503,205.38/4,698.76
  6. Step 6: Final answer
    x = 2,660.96

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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.