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Finding the Fourth Proportional to 3,810.30, 5,715.18 and 1,037.16

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Solution

The fourth proportional to 3,810.30, 5,715.18 and 1,037.16 is: 1,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.30 : 5,715.18 = 1,037.16 : x
  2. Step 2: Convert to fraction form
    3,810.30/5,715.18 = 1,037.16/x
  3. Step 3: Cross multiply
    3,810.30x = 5,715.18 × 1,037.16
  4. Step 4: Simplify right side
    3,810.30x = 5,927,556.09
  5. Step 5: Solve for x
    x = 5,927,556.09/3,810.30
  6. Step 6: Final answer
    x = 1,555.67

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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.