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Finding the Fourth Proportional to 4,323.84, 6,512.34 and 4,019.64

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Solution

The fourth proportional to 4,323.84, 6,512.34 and 4,019.64 is: 6,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.84 : 6,512.34 = 4,019.64 : x
  2. Step 2: Convert to fraction form
    4,323.84/6,512.34 = 4,019.64/x
  3. Step 3: Cross multiply
    4,323.84x = 6,512.34 × 4,019.64
  4. Step 4: Simplify right side
    4,323.84x = 26,177,242.26
  5. Step 5: Solve for x
    x = 26,177,242.26/4,323.84
  6. Step 6: Final answer
    x = 6,054.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.