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Finding the Fourth Proportional to 3,435, 5,152.54 and 1,126.60

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Solution

The fourth proportional to 3,435, 5,152.54 and 1,126.60 is: 1,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 5,152.54 = 1,126.60 : x
  2. Step 2: Convert to fraction form
    3,435/5,152.54 = 1,126.60/x
  3. Step 3: Cross multiply
    3,435x = 5,152.54 × 1,126.60
  4. Step 4: Simplify right side
    3,435x = 5,804,851.56
  5. Step 5: Solve for x
    x = 5,804,851.56/3,435
  6. Step 6: Final answer
    x = 1,689.91

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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.