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Finding the Fourth Proportional to 5,440.74, 7,510.41 and 4,114.74

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Solution

The fourth proportional to 5,440.74, 7,510.41 and 4,114.74 is: 5,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.74 : 7,510.41 = 4,114.74 : x
  2. Step 2: Convert to fraction form
    5,440.74/7,510.41 = 4,114.74/x
  3. Step 3: Cross multiply
    5,440.74x = 7,510.41 × 4,114.74
  4. Step 4: Simplify right side
    5,440.74x = 30,903,384.44
  5. Step 5: Solve for x
    x = 30,903,384.44/5,440.74
  6. Step 6: Final answer
    x = 5,680.00

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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.