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Finding the Fourth Proportional to 4,690.98, 7,037.46 and 1,404.09

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Solution

The fourth proportional to 4,690.98, 7,037.46 and 1,404.09 is: 2,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.98 : 7,037.46 = 1,404.09 : x
  2. Step 2: Convert to fraction form
    4,690.98/7,037.46 = 1,404.09/x
  3. Step 3: Cross multiply
    4,690.98x = 7,037.46 × 1,404.09
  4. Step 4: Simplify right side
    4,690.98x = 9,881,227.21
  5. Step 5: Solve for x
    x = 9,881,227.21/4,690.98
  6. Step 6: Final answer
    x = 2,106.43

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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.