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Finding the Fourth Proportional to 5,656.21, 7,812.38 and 4,946.24

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Solution

The fourth proportional to 5,656.21, 7,812.38 and 4,946.24 is: 6,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.21 : 7,812.38 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    5,656.21/7,812.38 = 4,946.24/x
  3. Step 3: Cross multiply
    5,656.21x = 7,812.38 × 4,946.24
  4. Step 4: Simplify right side
    5,656.21x = 38,641,906.45
  5. Step 5: Solve for x
    x = 38,641,906.45/5,656.21
  6. Step 6: Final answer
    x = 6,831.77

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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.