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Finding the Fourth Proportional to 4,573.62, 6,311.60 and 2,477.74

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Solution

The fourth proportional to 4,573.62, 6,311.60 and 2,477.74 is: 3,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.62 : 6,311.60 = 2,477.74 : x
  2. Step 2: Convert to fraction form
    4,573.62/6,311.60 = 2,477.74/x
  3. Step 3: Cross multiply
    4,573.62x = 6,311.60 × 2,477.74
  4. Step 4: Simplify right side
    4,573.62x = 15,638,503.78
  5. Step 5: Solve for x
    x = 15,638,503.78/4,573.62
  6. Step 6: Final answer
    x = 3,419.28

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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.