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Finding the Fourth Proportional to 5,826.66, 8,742.42 and 2,907.42

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Solution

The fourth proportional to 5,826.66, 8,742.42 and 2,907.42 is: 4,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.66 : 8,742.42 = 2,907.42 : x
  2. Step 2: Convert to fraction form
    5,826.66/8,742.42 = 2,907.42/x
  3. Step 3: Cross multiply
    5,826.66x = 8,742.42 × 2,907.42
  4. Step 4: Simplify right side
    5,826.66x = 25,417,886.76
  5. Step 5: Solve for x
    x = 25,417,886.76/5,826.66
  6. Step 6: Final answer
    x = 4,362.34

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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.