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Finding the Fourth Proportional to 5,037.46, 7,547.83 and 3,085.56

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Solution

The fourth proportional to 5,037.46, 7,547.83 and 3,085.56 is: 4,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.46 : 7,547.83 = 3,085.56 : x
  2. Step 2: Convert to fraction form
    5,037.46/7,547.83 = 3,085.56/x
  3. Step 3: Cross multiply
    5,037.46x = 7,547.83 × 3,085.56
  4. Step 4: Simplify right side
    5,037.46x = 23,289,282.33
  5. Step 5: Solve for x
    x = 23,289,282.33/5,037.46
  6. Step 6: Final answer
    x = 4,623.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.