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Finding the Fourth Proportional to 4,695.44, 6,480 and 2,706.20

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Solution

The fourth proportional to 4,695.44, 6,480 and 2,706.20 is: 3,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.44 : 6,480 = 2,706.20 : x
  2. Step 2: Convert to fraction form
    4,695.44/6,480 = 2,706.20/x
  3. Step 3: Cross multiply
    4,695.44x = 6,480 × 2,706.20
  4. Step 4: Simplify right side
    4,695.44x = 17,536,176
  5. Step 5: Solve for x
    x = 17,536,176/4,695.44
  6. Step 6: Final answer
    x = 3,734.72

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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.