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Finding the Fourth Proportional to 4,741.62, 7,111.47 and 1,278.06

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Solution

The fourth proportional to 4,741.62, 7,111.47 and 1,278.06 is: 1,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.62 : 7,111.47 = 1,278.06 : x
  2. Step 2: Convert to fraction form
    4,741.62/7,111.47 = 1,278.06/x
  3. Step 3: Cross multiply
    4,741.62x = 7,111.47 × 1,278.06
  4. Step 4: Simplify right side
    4,741.62x = 9,088,885.35
  5. Step 5: Solve for x
    x = 9,088,885.35/4,741.62
  6. Step 6: Final answer
    x = 1,916.83

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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.