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Finding the Fourth Proportional to 4,834.94, 7,252.56 and 1,714.90

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Solution

The fourth proportional to 4,834.94, 7,252.56 and 1,714.90 is: 2,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.94 : 7,252.56 = 1,714.90 : x
  2. Step 2: Convert to fraction form
    4,834.94/7,252.56 = 1,714.90/x
  3. Step 3: Cross multiply
    4,834.94x = 7,252.56 × 1,714.90
  4. Step 4: Simplify right side
    4,834.94x = 12,437,395.04
  5. Step 5: Solve for x
    x = 12,437,395.04/4,834.94
  6. Step 6: Final answer
    x = 2,572.40

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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.