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Finding the Fourth Proportional to 4,045.12, 6,068.16 and 3,802.16

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Solution

The fourth proportional to 4,045.12, 6,068.16 and 3,802.16 is: 5,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.12 : 6,068.16 = 3,802.16 : x
  2. Step 2: Convert to fraction form
    4,045.12/6,068.16 = 3,802.16/x
  3. Step 3: Cross multiply
    4,045.12x = 6,068.16 × 3,802.16
  4. Step 4: Simplify right side
    4,045.12x = 23,072,115.23
  5. Step 5: Solve for x
    x = 23,072,115.23/4,045.12
  6. Step 6: Final answer
    x = 5,703.69

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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.