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Finding the Fourth Proportional to 3,810.32, 5,715.43 and 1,037.05

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Solution

The fourth proportional to 3,810.32, 5,715.43 and 1,037.05 is: 1,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.32 : 5,715.43 = 1,037.05 : x
  2. Step 2: Convert to fraction form
    3,810.32/5,715.43 = 1,037.05/x
  3. Step 3: Cross multiply
    3,810.32x = 5,715.43 × 1,037.05
  4. Step 4: Simplify right side
    3,810.32x = 5,927,201.95
  5. Step 5: Solve for x
    x = 5,927,201.95/3,810.32
  6. Step 6: Final answer
    x = 1,555.56

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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.