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Finding the Fourth Proportional to 4,635.66, 6,955.32 and 1,714.26

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Solution

The fourth proportional to 4,635.66, 6,955.32 and 1,714.26 is: 2,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.66 : 6,955.32 = 1,714.26 : x
  2. Step 2: Convert to fraction form
    4,635.66/6,955.32 = 1,714.26/x
  3. Step 3: Cross multiply
    4,635.66x = 6,955.32 × 1,714.26
  4. Step 4: Simplify right side
    4,635.66x = 11,923,226.86
  5. Step 5: Solve for x
    x = 11,923,226.86/4,635.66
  6. Step 6: Final answer
    x = 2,572.07

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