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Finding the Fourth Proportional to 4,856.30, 7,279.65 and 1,930.70

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Solution

The fourth proportional to 4,856.30, 7,279.65 and 1,930.70 is: 2,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.30 : 7,279.65 = 1,930.70 : x
  2. Step 2: Convert to fraction form
    4,856.30/7,279.65 = 1,930.70/x
  3. Step 3: Cross multiply
    4,856.30x = 7,279.65 × 1,930.70
  4. Step 4: Simplify right side
    4,856.30x = 14,054,820.26
  5. Step 5: Solve for x
    x = 14,054,820.26/4,856.30
  6. Step 6: Final answer
    x = 2,894.14

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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.