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Finding the Fourth Proportional to 5,152.34, 7,706.45 and 4,778.84

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Solution

The fourth proportional to 5,152.34, 7,706.45 and 4,778.84 is: 7,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.34 : 7,706.45 = 4,778.84 : x
  2. Step 2: Convert to fraction form
    5,152.34/7,706.45 = 4,778.84/x
  3. Step 3: Cross multiply
    5,152.34x = 7,706.45 × 4,778.84
  4. Step 4: Simplify right side
    5,152.34x = 36,827,829.09
  5. Step 5: Solve for x
    x = 36,827,829.09/5,152.34
  6. Step 6: Final answer
    x = 7,147.79

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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.