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Finding the Fourth Proportional to 4,741.64, 7,113.98 and 2,276.63

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Solution

The fourth proportional to 4,741.64, 7,113.98 and 2,276.63 is: 3,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.64 : 7,113.98 = 2,276.63 : x
  2. Step 2: Convert to fraction form
    4,741.64/7,113.98 = 2,276.63/x
  3. Step 3: Cross multiply
    4,741.64x = 7,113.98 × 2,276.63
  4. Step 4: Simplify right side
    4,741.64x = 16,195,904.29
  5. Step 5: Solve for x
    x = 16,195,904.29/4,741.64
  6. Step 6: Final answer
    x = 3,415.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.