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Finding the Fourth Proportional to 4,894.72, 7,342.08 and 2,841.60

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Solution

The fourth proportional to 4,894.72, 7,342.08 and 2,841.60 is: 4,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.72 : 7,342.08 = 2,841.60 : x
  2. Step 2: Convert to fraction form
    4,894.72/7,342.08 = 2,841.60/x
  3. Step 3: Cross multiply
    4,894.72x = 7,342.08 × 2,841.60
  4. Step 4: Simplify right side
    4,894.72x = 20,863,254.53
  5. Step 5: Solve for x
    x = 20,863,254.53/4,894.72
  6. Step 6: Final answer
    x = 4,262.40

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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.