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Finding the Fourth Proportional to 4,946.47, 6,831.54 and 3,840.68

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Solution

The fourth proportional to 4,946.47, 6,831.54 and 3,840.68 is: 5,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.47 : 6,831.54 = 3,840.68 : x
  2. Step 2: Convert to fraction form
    4,946.47/6,831.54 = 3,840.68/x
  3. Step 3: Cross multiply
    4,946.47x = 6,831.54 × 3,840.68
  4. Step 4: Simplify right side
    4,946.47x = 26,237,776.13
  5. Step 5: Solve for x
    x = 26,237,776.13/4,946.47
  6. Step 6: Final answer
    x = 5,304.35

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