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Finding the Fourth Proportional to 5,594.73, 7,715.62 and 4,475.71

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Solution

The fourth proportional to 5,594.73, 7,715.62 and 4,475.71 is: 6,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.73 : 7,715.62 = 4,475.71 : x
  2. Step 2: Convert to fraction form
    5,594.73/7,715.62 = 4,475.71/x
  3. Step 3: Cross multiply
    5,594.73x = 7,715.62 × 4,475.71
  4. Step 4: Simplify right side
    5,594.73x = 34,532,877.59
  5. Step 5: Solve for x
    x = 34,532,877.59/5,594.73
  6. Step 6: Final answer
    x = 6,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.