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Finding the Fourth Proportional to 3,377.47, 5,066.01 and 912.10

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Solution

The fourth proportional to 3,377.47, 5,066.01 and 912.10 is: 1,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.47 : 5,066.01 = 912.10 : x
  2. Step 2: Convert to fraction form
    3,377.47/5,066.01 = 912.10/x
  3. Step 3: Cross multiply
    3,377.47x = 5,066.01 × 912.10
  4. Step 4: Simplify right side
    3,377.47x = 4,620,714.05
  5. Step 5: Solve for x
    x = 4,620,714.05/3,377.47
  6. Step 6: Final answer
    x = 1,368.10

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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.