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Finding the Fourth Proportional to 4,503.34, 6,758.03 and 1,581.65

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Solution

The fourth proportional to 4,503.34, 6,758.03 and 1,581.65 is: 2,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.34 : 6,758.03 = 1,581.65 : x
  2. Step 2: Convert to fraction form
    4,503.34/6,758.03 = 1,581.65/x
  3. Step 3: Cross multiply
    4,503.34x = 6,758.03 × 1,581.65
  4. Step 4: Simplify right side
    4,503.34x = 10,688,838.15
  5. Step 5: Solve for x
    x = 10,688,838.15/4,503.34
  6. Step 6: Final answer
    x = 2,373.54

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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.