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Finding the Fourth Proportional to 3,878.51, 5,814.29 and 1,903.05

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Solution

The fourth proportional to 3,878.51, 5,814.29 and 1,903.05 is: 2,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.51 : 5,814.29 = 1,903.05 : x
  2. Step 2: Convert to fraction form
    3,878.51/5,814.29 = 1,903.05/x
  3. Step 3: Cross multiply
    3,878.51x = 5,814.29 × 1,903.05
  4. Step 4: Simplify right side
    3,878.51x = 11,064,875.07
  5. Step 5: Solve for x
    x = 11,064,875.07/3,878.51
  6. Step 6: Final answer
    x = 2,852.87

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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.