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Finding the Fourth Proportional to 4,636.53, 6,954.80 and 1,126.53

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Solution

The fourth proportional to 4,636.53, 6,954.80 and 1,126.53 is: 1,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.53 : 6,954.80 = 1,126.53 : x
  2. Step 2: Convert to fraction form
    4,636.53/6,954.80 = 1,126.53/x
  3. Step 3: Cross multiply
    4,636.53x = 6,954.80 × 1,126.53
  4. Step 4: Simplify right side
    4,636.53x = 7,834,785.21
  5. Step 5: Solve for x
    x = 7,834,785.21/4,636.53
  6. Step 6: Final answer
    x = 1,689.80

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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.