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Finding the Fourth Proportional to 3,143.98, 4,709.59 and 1,475.58

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Solution

The fourth proportional to 3,143.98, 4,709.59 and 1,475.58 is: 2,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.98 : 4,709.59 = 1,475.58 : x
  2. Step 2: Convert to fraction form
    3,143.98/4,709.59 = 1,475.58/x
  3. Step 3: Cross multiply
    3,143.98x = 4,709.59 × 1,475.58
  4. Step 4: Simplify right side
    3,143.98x = 6,949,373.12
  5. Step 5: Solve for x
    x = 6,949,373.12/3,143.98
  6. Step 6: Final answer
    x = 2,210.38

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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.