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Finding the Fourth Proportional to 4,573.68, 6,311.70 and 2,477.82

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Solution

The fourth proportional to 4,573.68, 6,311.70 and 2,477.82 is: 3,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.68 : 6,311.70 = 2,477.82 : x
  2. Step 2: Convert to fraction form
    4,573.68/6,311.70 = 2,477.82/x
  3. Step 3: Cross multiply
    4,573.68x = 6,311.70 × 2,477.82
  4. Step 4: Simplify right side
    4,573.68x = 15,639,256.49
  5. Step 5: Solve for x
    x = 15,639,256.49/4,573.68
  6. Step 6: Final answer
    x = 3,419.40

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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.