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Finding the Fourth Proportional to 4,130.34, 5,700.05 and 2,361.95

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Solution

The fourth proportional to 4,130.34, 5,700.05 and 2,361.95 is: 3,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.34 : 5,700.05 = 2,361.95 : x
  2. Step 2: Convert to fraction form
    4,130.34/5,700.05 = 2,361.95/x
  3. Step 3: Cross multiply
    4,130.34x = 5,700.05 × 2,361.95
  4. Step 4: Simplify right side
    4,130.34x = 13,463,233.10
  5. Step 5: Solve for x
    x = 13,463,233.10/4,130.34
  6. Step 6: Final answer
    x = 3,259.59

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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.