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Finding the Fourth Proportional to 4,678.36, 7,019.16 and 2,083.12

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Solution

The fourth proportional to 4,678.36, 7,019.16 and 2,083.12 is: 3,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.36 : 7,019.16 = 2,083.12 : x
  2. Step 2: Convert to fraction form
    4,678.36/7,019.16 = 2,083.12/x
  3. Step 3: Cross multiply
    4,678.36x = 7,019.16 × 2,083.12
  4. Step 4: Simplify right side
    4,678.36x = 14,621,752.58
  5. Step 5: Solve for x
    x = 14,621,752.58/4,678.36
  6. Step 6: Final answer
    x = 3,125.40

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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.