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Finding the Fourth Proportional to 3,315.44, 4,574.59 and 1,917.38

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Solution

The fourth proportional to 3,315.44, 4,574.59 and 1,917.38 is: 2,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.44 : 4,574.59 = 1,917.38 : x
  2. Step 2: Convert to fraction form
    3,315.44/4,574.59 = 1,917.38/x
  3. Step 3: Cross multiply
    3,315.44x = 4,574.59 × 1,917.38
  4. Step 4: Simplify right side
    3,315.44x = 8,771,199.71
  5. Step 5: Solve for x
    x = 8,771,199.71/3,315.44
  6. Step 6: Final answer
    x = 2,645.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.