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Finding the Fourth Proportional to 3,438.54, 5,154.29 and 1,359.98

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Solution

The fourth proportional to 3,438.54, 5,154.29 and 1,359.98 is: 2,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.54 : 5,154.29 = 1,359.98 : x
  2. Step 2: Convert to fraction form
    3,438.54/5,154.29 = 1,359.98/x
  3. Step 3: Cross multiply
    3,438.54x = 5,154.29 × 1,359.98
  4. Step 4: Simplify right side
    3,438.54x = 7,009,698.74
  5. Step 5: Solve for x
    x = 7,009,698.74/3,438.54
  6. Step 6: Final answer
    x = 2,038.57

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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.