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Finding the Fourth Proportional to 4,762.96, 6,570.70 and 3,084.92

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Solution

The fourth proportional to 4,762.96, 6,570.70 and 3,084.92 is: 4,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.96 : 6,570.70 = 3,084.92 : x
  2. Step 2: Convert to fraction form
    4,762.96/6,570.70 = 3,084.92/x
  3. Step 3: Cross multiply
    4,762.96x = 6,570.70 × 3,084.92
  4. Step 4: Simplify right side
    4,762.96x = 20,270,083.84
  5. Step 5: Solve for x
    x = 20,270,083.84/4,762.96
  6. Step 6: Final answer
    x = 4,255.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.