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Finding the Fourth Proportional to 3,142.47, 4,709.34 and 1,384.83

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Solution

The fourth proportional to 3,142.47, 4,709.34 and 1,384.83 is: 2,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.47 : 4,709.34 = 1,384.83 : x
  2. Step 2: Convert to fraction form
    3,142.47/4,709.34 = 1,384.83/x
  3. Step 3: Cross multiply
    3,142.47x = 4,709.34 × 1,384.83
  4. Step 4: Simplify right side
    3,142.47x = 6,521,635.31
  5. Step 5: Solve for x
    x = 6,521,635.31/3,142.47
  6. Step 6: Final answer
    x = 2,075.32

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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.