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Finding the Fourth Proportional to 4,695.60, 6,479.30 and 2,706

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Solution

The fourth proportional to 4,695.60, 6,479.30 and 2,706 is: 3,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.60 : 6,479.30 = 2,706 : x
  2. Step 2: Convert to fraction form
    4,695.60/6,479.30 = 2,706/x
  3. Step 3: Cross multiply
    4,695.60x = 6,479.30 × 2,706
  4. Step 4: Simplify right side
    4,695.60x = 17,532,985.80
  5. Step 5: Solve for x
    x = 17,532,985.80/4,695.60
  6. Step 6: Final answer
    x = 3,733.92

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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.