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Finding the Fourth Proportional to 4,649.92, 6,975.90 and 1,530.89

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Solution

The fourth proportional to 4,649.92, 6,975.90 and 1,530.89 is: 2,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.92 : 6,975.90 = 1,530.89 : x
  2. Step 2: Convert to fraction form
    4,649.92/6,975.90 = 1,530.89/x
  3. Step 3: Cross multiply
    4,649.92x = 6,975.90 × 1,530.89
  4. Step 4: Simplify right side
    4,649.92x = 10,679,300.67
  5. Step 5: Solve for x
    x = 10,679,300.67/4,649.92
  6. Step 6: Final answer
    x = 2,296.67

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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.