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Finding the Fourth Proportional to 4,673.34, 7,008.03 and 2,074.50

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Solution

The fourth proportional to 4,673.34, 7,008.03 and 2,074.50 is: 3,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.34 : 7,008.03 = 2,074.50 : x
  2. Step 2: Convert to fraction form
    4,673.34/7,008.03 = 2,074.50/x
  3. Step 3: Cross multiply
    4,673.34x = 7,008.03 × 2,074.50
  4. Step 4: Simplify right side
    4,673.34x = 14,538,158.24
  5. Step 5: Solve for x
    x = 14,538,158.24/4,673.34
  6. Step 6: Final answer
    x = 3,110.87

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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.