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Finding the Fourth Proportional to 4,189.54, 6,274.68 and 2,430.18

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Solution

The fourth proportional to 4,189.54, 6,274.68 and 2,430.18 is: 3,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.54 : 6,274.68 = 2,430.18 : x
  2. Step 2: Convert to fraction form
    4,189.54/6,274.68 = 2,430.18/x
  3. Step 3: Cross multiply
    4,189.54x = 6,274.68 × 2,430.18
  4. Step 4: Simplify right side
    4,189.54x = 15,248,601.84
  5. Step 5: Solve for x
    x = 15,248,601.84/4,189.54
  6. Step 6: Final answer
    x = 3,639.68

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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.