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Finding the Fourth Proportional to 4,980.32, 7,458.16 and 2,894.00

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Solution

The fourth proportional to 4,980.32, 7,458.16 and 2,894.00 is: 4,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.32 : 7,458.16 = 2,894.00 : x
  2. Step 2: Convert to fraction form
    4,980.32/7,458.16 = 2,894.00/x
  3. Step 3: Cross multiply
    4,980.32x = 7,458.16 × 2,894.00
  4. Step 4: Simplify right side
    4,980.32x = 21,583,863.28
  5. Step 5: Solve for x
    x = 21,583,863.28/4,980.32
  6. Step 6: Final answer
    x = 4,333.83

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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.