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Finding the Fourth Proportional to 5,569.58, 8,354.63 and 3,102.54

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Solution

The fourth proportional to 5,569.58, 8,354.63 and 3,102.54 is: 4,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.58 : 8,354.63 = 3,102.54 : x
  2. Step 2: Convert to fraction form
    5,569.58/8,354.63 = 3,102.54/x
  3. Step 3: Cross multiply
    5,569.58x = 8,354.63 × 3,102.54
  4. Step 4: Simplify right side
    5,569.58x = 25,920,573.76
  5. Step 5: Solve for x
    x = 25,920,573.76/5,569.58
  6. Step 6: Final answer
    x = 4,653.95

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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.