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Finding the Fourth Proportional to 3,810.36, 5,715.90 and 1,037.07

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Solution

The fourth proportional to 3,810.36, 5,715.90 and 1,037.07 is: 1,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.36 : 5,715.90 = 1,037.07 : x
  2. Step 2: Convert to fraction form
    3,810.36/5,715.90 = 1,037.07/x
  3. Step 3: Cross multiply
    3,810.36x = 5,715.90 × 1,037.07
  4. Step 4: Simplify right side
    3,810.36x = 5,927,788.41
  5. Step 5: Solve for x
    x = 5,927,788.41/3,810.36
  6. Step 6: Final answer
    x = 1,555.70

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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.