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Finding the Fourth Proportional to 4,322.95, 6,478.34 and 2,471.29

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Solution

The fourth proportional to 4,322.95, 6,478.34 and 2,471.29 is: 3,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.95 : 6,478.34 = 2,471.29 : x
  2. Step 2: Convert to fraction form
    4,322.95/6,478.34 = 2,471.29/x
  3. Step 3: Cross multiply
    4,322.95x = 6,478.34 × 2,471.29
  4. Step 4: Simplify right side
    4,322.95x = 16,009,837.57
  5. Step 5: Solve for x
    x = 16,009,837.57/4,322.95
  6. Step 6: Final answer
    x = 3,703.45

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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.