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Finding the Fourth Proportional to 4,307.67, 6,453.09 and 2,970.34

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Solution

The fourth proportional to 4,307.67, 6,453.09 and 2,970.34 is: 4,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.67 : 6,453.09 = 2,970.34 : x
  2. Step 2: Convert to fraction form
    4,307.67/6,453.09 = 2,970.34/x
  3. Step 3: Cross multiply
    4,307.67x = 6,453.09 × 2,970.34
  4. Step 4: Simplify right side
    4,307.67x = 19,167,855.22
  5. Step 5: Solve for x
    x = 19,167,855.22/4,307.67
  6. Step 6: Final answer
    x = 4,449.70

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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.