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Finding the Fourth Proportional to 5,037.58, 7,545.57 and 3,091.42

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Solution

The fourth proportional to 5,037.58, 7,545.57 and 3,091.42 is: 4,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.58 : 7,545.57 = 3,091.42 : x
  2. Step 2: Convert to fraction form
    5,037.58/7,545.57 = 3,091.42/x
  3. Step 3: Cross multiply
    5,037.58x = 7,545.57 × 3,091.42
  4. Step 4: Simplify right side
    5,037.58x = 23,326,526.01
  5. Step 5: Solve for x
    x = 23,326,526.01/5,037.58
  6. Step 6: Final answer
    x = 4,630.50

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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.