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Finding the Fourth Proportional to 5,220.63, 7,831.22 and 1,710.99

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Solution

The fourth proportional to 5,220.63, 7,831.22 and 1,710.99 is: 2,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.63 : 7,831.22 = 1,710.99 : x
  2. Step 2: Convert to fraction form
    5,220.63/7,831.22 = 1,710.99/x
  3. Step 3: Cross multiply
    5,220.63x = 7,831.22 × 1,710.99
  4. Step 4: Simplify right side
    5,220.63x = 13,399,130.55
  5. Step 5: Solve for x
    x = 13,399,130.55/5,220.63
  6. Step 6: Final answer
    x = 2,566.57

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1.5x scale

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.