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Finding the Fourth Proportional to 4,271.53, 6,407.40 and 1,310.04

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Solution

The fourth proportional to 4,271.53, 6,407.40 and 1,310.04 is: 1,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.53 : 6,407.40 = 1,310.04 : x
  2. Step 2: Convert to fraction form
    4,271.53/6,407.40 = 1,310.04/x
  3. Step 3: Cross multiply
    4,271.53x = 6,407.40 × 1,310.04
  4. Step 4: Simplify right side
    4,271.53x = 8,393,950.30
  5. Step 5: Solve for x
    x = 8,393,950.30/4,271.53
  6. Step 6: Final answer
    x = 1,965.09

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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.