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Finding the Fourth Proportional to 3,368.32, 5,052.74 and 903.11

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Solution

The fourth proportional to 3,368.32, 5,052.74 and 903.11 is: 1,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.32 : 5,052.74 = 903.11 : x
  2. Step 2: Convert to fraction form
    3,368.32/5,052.74 = 903.11/x
  3. Step 3: Cross multiply
    3,368.32x = 5,052.74 × 903.11
  4. Step 4: Simplify right side
    3,368.32x = 4,563,180.02
  5. Step 5: Solve for x
    x = 4,563,180.02/3,368.32
  6. Step 6: Final answer
    x = 1,354.73

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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.