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Finding the Fourth Proportional to 4,632.96, 6,946.90 and 3,172.48

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Solution

The fourth proportional to 4,632.96, 6,946.90 and 3,172.48 is: 4,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.96 : 6,946.90 = 3,172.48 : x
  2. Step 2: Convert to fraction form
    4,632.96/6,946.90 = 3,172.48/x
  3. Step 3: Cross multiply
    4,632.96x = 6,946.90 × 3,172.48
  4. Step 4: Simplify right side
    4,632.96x = 22,038,901.31
  5. Step 5: Solve for x
    x = 22,038,901.31/4,632.96
  6. Step 6: Final answer
    x = 4,756.98

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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.