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Finding the Fourth Proportional to 5,314.07, 7,333.86 and 2,956.66

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Solution

The fourth proportional to 5,314.07, 7,333.86 and 2,956.66 is: 4,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.07 : 7,333.86 = 2,956.66 : x
  2. Step 2: Convert to fraction form
    5,314.07/7,333.86 = 2,956.66/x
  3. Step 3: Cross multiply
    5,314.07x = 7,333.86 × 2,956.66
  4. Step 4: Simplify right side
    5,314.07x = 21,683,693.84
  5. Step 5: Solve for x
    x = 21,683,693.84/5,314.07
  6. Step 6: Final answer
    x = 4,080.43

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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.