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Finding the Fourth Proportional to 3,059.82, 4,592.03 and 1,417.52

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Solution

The fourth proportional to 3,059.82, 4,592.03 and 1,417.52 is: 2,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.82 : 4,592.03 = 1,417.52 : x
  2. Step 2: Convert to fraction form
    3,059.82/4,592.03 = 1,417.52/x
  3. Step 3: Cross multiply
    3,059.82x = 4,592.03 × 1,417.52
  4. Step 4: Simplify right side
    3,059.82x = 6,509,274.95
  5. Step 5: Solve for x
    x = 6,509,274.95/3,059.82
  6. Step 6: Final answer
    x = 2,127.34

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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.