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Finding the Fourth Proportional to 4,647.41, 6,971.61 and 2,015.19

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Solution

The fourth proportional to 4,647.41, 6,971.61 and 2,015.19 is: 3,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.41 : 6,971.61 = 2,015.19 : x
  2. Step 2: Convert to fraction form
    4,647.41/6,971.61 = 2,015.19/x
  3. Step 3: Cross multiply
    4,647.41x = 6,971.61 × 2,015.19
  4. Step 4: Simplify right side
    4,647.41x = 14,049,118.76
  5. Step 5: Solve for x
    x = 14,049,118.76/4,647.41
  6. Step 6: Final answer
    x = 3,023.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.