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Finding the Fourth Proportional to 4,648.53, 6,968.48 and 2,307.09

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Solution

The fourth proportional to 4,648.53, 6,968.48 and 2,307.09 is: 3,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.53 : 6,968.48 = 2,307.09 : x
  2. Step 2: Convert to fraction form
    4,648.53/6,968.48 = 2,307.09/x
  3. Step 3: Cross multiply
    4,648.53x = 6,968.48 × 2,307.09
  4. Step 4: Simplify right side
    4,648.53x = 16,076,898.99
  5. Step 5: Solve for x
    x = 16,076,898.99/4,648.53
  6. Step 6: Final answer
    x = 3,458.49

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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.