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Finding the Fourth Proportional to 3,036, 4,187.57 and 1,857.65

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Solution

The fourth proportional to 3,036, 4,187.57 and 1,857.65 is: 2,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 4,187.57 = 1,857.65 : x
  2. Step 2: Convert to fraction form
    3,036/4,187.57 = 1,857.65/x
  3. Step 3: Cross multiply
    3,036x = 4,187.57 × 1,857.65
  4. Step 4: Simplify right side
    3,036x = 7,779,039.41
  5. Step 5: Solve for x
    x = 7,779,039.41/3,036
  6. Step 6: Final answer
    x = 2,562.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.