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Finding the Fourth Proportional to 4,706.70, 7,061.28 and 2,513.64

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Solution

The fourth proportional to 4,706.70, 7,061.28 and 2,513.64 is: 3,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.70 : 7,061.28 = 2,513.64 : x
  2. Step 2: Convert to fraction form
    4,706.70/7,061.28 = 2,513.64/x
  3. Step 3: Cross multiply
    4,706.70x = 7,061.28 × 2,513.64
  4. Step 4: Simplify right side
    4,706.70x = 17,749,515.86
  5. Step 5: Solve for x
    x = 17,749,515.86/4,706.70
  6. Step 6: Final answer
    x = 3,771.12

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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.