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Finding the Fourth Proportional to 3,369.74, 5,054.81 and 904.57

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Solution

The fourth proportional to 3,369.74, 5,054.81 and 904.57 is: 1,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.74 : 5,054.81 = 904.57 : x
  2. Step 2: Convert to fraction form
    3,369.74/5,054.81 = 904.57/x
  3. Step 3: Cross multiply
    3,369.74x = 5,054.81 × 904.57
  4. Step 4: Simplify right side
    3,369.74x = 4,572,412.32
  5. Step 5: Solve for x
    x = 4,572,412.32/3,369.74
  6. Step 6: Final answer
    x = 1,356.91

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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.