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Finding the Fourth Proportional to 4,695.87, 7,047 and 2,506.17

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Solution

The fourth proportional to 4,695.87, 7,047 and 2,506.17 is: 3,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.87 : 7,047 = 2,506.17 : x
  2. Step 2: Convert to fraction form
    4,695.87/7,047 = 2,506.17/x
  3. Step 3: Cross multiply
    4,695.87x = 7,047 × 2,506.17
  4. Step 4: Simplify right side
    4,695.87x = 17,660,979.99
  5. Step 5: Solve for x
    x = 17,660,979.99/4,695.87
  6. Step 6: Final answer
    x = 3,760.96

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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.