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Finding the Fourth Proportional to 5,648.63, 7,795.38 and 3,410.46

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Solution

The fourth proportional to 5,648.63, 7,795.38 and 3,410.46 is: 4,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.63 : 7,795.38 = 3,410.46 : x
  2. Step 2: Convert to fraction form
    5,648.63/7,795.38 = 3,410.46/x
  3. Step 3: Cross multiply
    5,648.63x = 7,795.38 × 3,410.46
  4. Step 4: Simplify right side
    5,648.63x = 26,585,831.67
  5. Step 5: Solve for x
    x = 26,585,831.67/5,648.63
  6. Step 6: Final answer
    x = 4,706.60

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1.5x scale

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.