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Finding the Fourth Proportional to 4,130.93, 5,699.29 and 2,361.28

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Solution

The fourth proportional to 4,130.93, 5,699.29 and 2,361.28 is: 3,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.93 : 5,699.29 = 2,361.28 : x
  2. Step 2: Convert to fraction form
    4,130.93/5,699.29 = 2,361.28/x
  3. Step 3: Cross multiply
    4,130.93x = 5,699.29 × 2,361.28
  4. Step 4: Simplify right side
    4,130.93x = 13,457,619.49
  5. Step 5: Solve for x
    x = 13,457,619.49/4,130.93
  6. Step 6: Final answer
    x = 3,257.77

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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.