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Finding the Fourth Proportional to 4,695.76, 7,048.20 and 2,506.03

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Solution

The fourth proportional to 4,695.76, 7,048.20 and 2,506.03 is: 3,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.76 : 7,048.20 = 2,506.03 : x
  2. Step 2: Convert to fraction form
    4,695.76/7,048.20 = 2,506.03/x
  3. Step 3: Cross multiply
    4,695.76x = 7,048.20 × 2,506.03
  4. Step 4: Simplify right side
    4,695.76x = 17,663,000.65
  5. Step 5: Solve for x
    x = 17,663,000.65/4,695.76
  6. Step 6: Final answer
    x = 3,761.48

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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.