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Finding the Fourth Proportional to 3,370.02, 5,054.46 and 904.64

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Solution

The fourth proportional to 3,370.02, 5,054.46 and 904.64 is: 1,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.02 : 5,054.46 = 904.64 : x
  2. Step 2: Convert to fraction form
    3,370.02/5,054.46 = 904.64/x
  3. Step 3: Cross multiply
    3,370.02x = 5,054.46 × 904.64
  4. Step 4: Simplify right side
    3,370.02x = 4,572,441.42
  5. Step 5: Solve for x
    x = 4,572,441.42/3,370.02
  6. Step 6: Final answer
    x = 1,356.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.