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Finding the Fourth Proportional to 3,369.31, 5,054.10 and 904.35

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Solution

The fourth proportional to 3,369.31, 5,054.10 and 904.35 is: 1,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.31 : 5,054.10 = 904.35 : x
  2. Step 2: Convert to fraction form
    3,369.31/5,054.10 = 904.35/x
  3. Step 3: Cross multiply
    3,369.31x = 5,054.10 × 904.35
  4. Step 4: Simplify right side
    3,369.31x = 4,570,675.34
  5. Step 5: Solve for x
    x = 4,570,675.34/3,369.31
  6. Step 6: Final answer
    x = 1,356.56

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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.