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Finding the Fourth Proportional to 3,434.96, 4,742.52 and 2,038.16

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Solution

The fourth proportional to 3,434.96, 4,742.52 and 2,038.16 is: 2,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.96 : 4,742.52 = 2,038.16 : x
  2. Step 2: Convert to fraction form
    3,434.96/4,742.52 = 2,038.16/x
  3. Step 3: Cross multiply
    3,434.96x = 4,742.52 × 2,038.16
  4. Step 4: Simplify right side
    3,434.96x = 9,666,014.56
  5. Step 5: Solve for x
    x = 9,666,014.56/3,434.96
  6. Step 6: Final answer
    x = 2,814.01

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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.