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Finding the Fourth Proportional to 4,573.41, 6,311.29 and 2,477.54

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Solution

The fourth proportional to 4,573.41, 6,311.29 and 2,477.54 is: 3,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.41 : 6,311.29 = 2,477.54 : x
  2. Step 2: Convert to fraction form
    4,573.41/6,311.29 = 2,477.54/x
  3. Step 3: Cross multiply
    4,573.41x = 6,311.29 × 2,477.54
  4. Step 4: Simplify right side
    4,573.41x = 15,636,473.43
  5. Step 5: Solve for x
    x = 15,636,473.43/4,573.41
  6. Step 6: Final answer
    x = 3,419.00

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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.