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Finding the Fourth Proportional to 4,699.20, 6,483.68 and 3,019.84

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Solution

The fourth proportional to 4,699.20, 6,483.68 and 3,019.84 is: 4,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.20 : 6,483.68 = 3,019.84 : x
  2. Step 2: Convert to fraction form
    4,699.20/6,483.68 = 3,019.84/x
  3. Step 3: Cross multiply
    4,699.20x = 6,483.68 × 3,019.84
  4. Step 4: Simplify right side
    4,699.20x = 19,579,676.21
  5. Step 5: Solve for x
    x = 19,579,676.21/4,699.20
  6. Step 6: Final answer
    x = 4,166.60

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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.