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Finding the Fourth Proportional to 4,671.46, 7,008.27 and 1,384.48

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Solution

The fourth proportional to 4,671.46, 7,008.27 and 1,384.48 is: 2,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.46 : 7,008.27 = 1,384.48 : x
  2. Step 2: Convert to fraction form
    4,671.46/7,008.27 = 1,384.48/x
  3. Step 3: Cross multiply
    4,671.46x = 7,008.27 × 1,384.48
  4. Step 4: Simplify right side
    4,671.46x = 9,702,809.65
  5. Step 5: Solve for x
    x = 9,702,809.65/4,671.46
  6. Step 6: Final answer
    x = 2,077.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.