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Finding the Fourth Proportional to 4,954.47, 7,432.68 and 1,834.50

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Solution

The fourth proportional to 4,954.47, 7,432.68 and 1,834.50 is: 2,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.47 : 7,432.68 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    4,954.47/7,432.68 = 1,834.50/x
  3. Step 3: Cross multiply
    4,954.47x = 7,432.68 × 1,834.50
  4. Step 4: Simplify right side
    4,954.47x = 13,635,242.29
  5. Step 5: Solve for x
    x = 13,635,242.29/4,954.47
  6. Step 6: Final answer
    x = 2,752.11

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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.