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Finding the Fourth Proportional to 4,598.16, 6,898.04 and 1,825.26

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Solution

The fourth proportional to 4,598.16, 6,898.04 and 1,825.26 is: 2,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.16 : 6,898.04 = 1,825.26 : x
  2. Step 2: Convert to fraction form
    4,598.16/6,898.04 = 1,825.26/x
  3. Step 3: Cross multiply
    4,598.16x = 6,898.04 × 1,825.26
  4. Step 4: Simplify right side
    4,598.16x = 12,590,716.49
  5. Step 5: Solve for x
    x = 12,590,716.49/4,598.16
  6. Step 6: Final answer
    x = 2,738.21

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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.