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Finding the Fourth Proportional to 4,715.64, 7,033.68 and 4,094.46

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Solution

The fourth proportional to 4,715.64, 7,033.68 and 4,094.46 is: 6,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.64 : 7,033.68 = 4,094.46 : x
  2. Step 2: Convert to fraction form
    4,715.64/7,033.68 = 4,094.46/x
  3. Step 3: Cross multiply
    4,715.64x = 7,033.68 × 4,094.46
  4. Step 4: Simplify right side
    4,715.64x = 28,799,121.41
  5. Step 5: Solve for x
    x = 28,799,121.41/4,715.64
  6. Step 6: Final answer
    x = 6,107.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.