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Finding the Fourth Proportional to 4,707.79, 6,496.81 and 2,583.43

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Solution

The fourth proportional to 4,707.79, 6,496.81 and 2,583.43 is: 3,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.79 : 6,496.81 = 2,583.43 : x
  2. Step 2: Convert to fraction form
    4,707.79/6,496.81 = 2,583.43/x
  3. Step 3: Cross multiply
    4,707.79x = 6,496.81 × 2,583.43
  4. Step 4: Simplify right side
    4,707.79x = 16,784,031.16
  5. Step 5: Solve for x
    x = 16,784,031.16/4,707.79
  6. Step 6: Final answer
    x = 3,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.