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Finding the Fourth Proportional to 4,695.64, 6,479.98 and 2,706.17

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Solution

The fourth proportional to 4,695.64, 6,479.98 and 2,706.17 is: 3,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.64 : 6,479.98 = 2,706.17 : x
  2. Step 2: Convert to fraction form
    4,695.64/6,479.98 = 2,706.17/x
  3. Step 3: Cross multiply
    4,695.64x = 6,479.98 × 2,706.17
  4. Step 4: Simplify right side
    4,695.64x = 17,535,888.31
  5. Step 5: Solve for x
    x = 17,535,888.31/4,695.64
  6. Step 6: Final answer
    x = 3,734.51

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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.