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Finding the Fourth Proportional to 4,573.64, 6,311.63 and 2,477.76

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Solution

The fourth proportional to 4,573.64, 6,311.63 and 2,477.76 is: 3,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.64 : 6,311.63 = 2,477.76 : x
  2. Step 2: Convert to fraction form
    4,573.64/6,311.63 = 2,477.76/x
  3. Step 3: Cross multiply
    4,573.64x = 6,311.63 × 2,477.76
  4. Step 4: Simplify right side
    4,573.64x = 15,638,704.35
  5. Step 5: Solve for x
    x = 15,638,704.35/4,573.64
  6. Step 6: Final answer
    x = 3,419.31

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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.