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Finding the Fourth Proportional to 4,684.55, 7,017.17 and 2,831.00

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Solution

The fourth proportional to 4,684.55, 7,017.17 and 2,831.00 is: 4,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.55 : 7,017.17 = 2,831.00 : x
  2. Step 2: Convert to fraction form
    4,684.55/7,017.17 = 2,831.00/x
  3. Step 3: Cross multiply
    4,684.55x = 7,017.17 × 2,831.00
  4. Step 4: Simplify right side
    4,684.55x = 19,865,559.03
  5. Step 5: Solve for x
    x = 19,865,559.03/4,684.55
  6. Step 6: Final answer
    x = 4,240.66

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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.