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Finding the Fourth Proportional to 4,068.53, 5,614.33 and 2,300.16

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Solution

The fourth proportional to 4,068.53, 5,614.33 and 2,300.16 is: 3,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.53 : 5,614.33 = 2,300.16 : x
  2. Step 2: Convert to fraction form
    4,068.53/5,614.33 = 2,300.16/x
  3. Step 3: Cross multiply
    4,068.53x = 5,614.33 × 2,300.16
  4. Step 4: Simplify right side
    4,068.53x = 12,913,857.29
  5. Step 5: Solve for x
    x = 12,913,857.29/4,068.53
  6. Step 6: Final answer
    x = 3,174.08

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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.