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Finding the Fourth Proportional to 4,709.89, 7,064.58 and 1,199.98

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Solution

The fourth proportional to 4,709.89, 7,064.58 and 1,199.98 is: 1,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.89 : 7,064.58 = 1,199.98 : x
  2. Step 2: Convert to fraction form
    4,709.89/7,064.58 = 1,199.98/x
  3. Step 3: Cross multiply
    4,709.89x = 7,064.58 × 1,199.98
  4. Step 4: Simplify right side
    4,709.89x = 8,477,354.71
  5. Step 5: Solve for x
    x = 8,477,354.71/4,709.89
  6. Step 6: Final answer
    x = 1,799.91

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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.