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Finding the Fourth Proportional to 3,509.70, 5,264.54 and 1,429.68

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Solution

The fourth proportional to 3,509.70, 5,264.54 and 1,429.68 is: 2,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.70 : 5,264.54 = 1,429.68 : x
  2. Step 2: Convert to fraction form
    3,509.70/5,264.54 = 1,429.68/x
  3. Step 3: Cross multiply
    3,509.70x = 5,264.54 × 1,429.68
  4. Step 4: Simplify right side
    3,509.70x = 7,526,607.55
  5. Step 5: Solve for x
    x = 7,526,607.55/3,509.70
  6. Step 6: Final answer
    x = 2,144.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.