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Finding the Fourth Proportional to 2,903.74, 4,359.71 and 2,854.53

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Solution

The fourth proportional to 2,903.74, 4,359.71 and 2,854.53 is: 4,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.74 : 4,359.71 = 2,854.53 : x
  2. Step 2: Convert to fraction form
    2,903.74/4,359.71 = 2,854.53/x
  3. Step 3: Cross multiply
    2,903.74x = 4,359.71 × 2,854.53
  4. Step 4: Simplify right side
    2,903.74x = 12,444,922.99
  5. Step 5: Solve for x
    x = 12,444,922.99/2,903.74
  6. Step 6: Final answer
    x = 4,285.83

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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.