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Finding the Fourth Proportional to 3,037.53, 4,557.09 and 957.61

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Solution

The fourth proportional to 3,037.53, 4,557.09 and 957.61 is: 1,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.53 : 4,557.09 = 957.61 : x
  2. Step 2: Convert to fraction form
    3,037.53/4,557.09 = 957.61/x
  3. Step 3: Cross multiply
    3,037.53x = 4,557.09 × 957.61
  4. Step 4: Simplify right side
    3,037.53x = 4,363,898.61
  5. Step 5: Solve for x
    x = 4,363,898.61/3,037.53
  6. Step 6: Final answer
    x = 1,436.66

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Why These Related Problems?

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