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Finding the Fourth Proportional to 4,717.39, 7,077 and 1,795.47

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Solution

The fourth proportional to 4,717.39, 7,077 and 1,795.47 is: 2,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.39 : 7,077 = 1,795.47 : x
  2. Step 2: Convert to fraction form
    4,717.39/7,077 = 1,795.47/x
  3. Step 3: Cross multiply
    4,717.39x = 7,077 × 1,795.47
  4. Step 4: Simplify right side
    4,717.39x = 12,706,541.19
  5. Step 5: Solve for x
    x = 12,706,541.19/4,717.39
  6. Step 6: Final answer
    x = 2,693.55

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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.