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Finding the Fourth Proportional to 3,416.52, 4,714.75 and 1,924.59

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Solution

The fourth proportional to 3,416.52, 4,714.75 and 1,924.59 is: 2,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.52 : 4,714.75 = 1,924.59 : x
  2. Step 2: Convert to fraction form
    3,416.52/4,714.75 = 1,924.59/x
  3. Step 3: Cross multiply
    3,416.52x = 4,714.75 × 1,924.59
  4. Step 4: Simplify right side
    3,416.52x = 9,073,960.70
  5. Step 5: Solve for x
    x = 9,073,960.70/3,416.52
  6. Step 6: Final answer
    x = 2,655.91

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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.