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Finding the Fourth Proportional to 5,569.64, 8,356 and 4,957.62

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Solution

The fourth proportional to 5,569.64, 8,356 and 4,957.62 is: 7,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.64 : 8,356 = 4,957.62 : x
  2. Step 2: Convert to fraction form
    5,569.64/8,356 = 4,957.62/x
  3. Step 3: Cross multiply
    5,569.64x = 8,356 × 4,957.62
  4. Step 4: Simplify right side
    5,569.64x = 41,425,872.72
  5. Step 5: Solve for x
    x = 41,425,872.72/5,569.64
  6. Step 6: Final answer
    x = 7,437.80

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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.