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Finding the Fourth Proportional to 3,574.44, 5,326.58 and 3,457

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Solution

The fourth proportional to 3,574.44, 5,326.58 and 3,457 is: 5,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.44 : 5,326.58 = 3,457 : x
  2. Step 2: Convert to fraction form
    3,574.44/5,326.58 = 3,457/x
  3. Step 3: Cross multiply
    3,574.44x = 5,326.58 × 3,457
  4. Step 4: Simplify right side
    3,574.44x = 18,413,987.06
  5. Step 5: Solve for x
    x = 18,413,987.06/3,574.44
  6. Step 6: Final answer
    x = 5,151.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.