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Finding the Fourth Proportional to 4,273.52, 6,410.40 and 1,312.04

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Solution

The fourth proportional to 4,273.52, 6,410.40 and 1,312.04 is: 1,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.52 : 6,410.40 = 1,312.04 : x
  2. Step 2: Convert to fraction form
    4,273.52/6,410.40 = 1,312.04/x
  3. Step 3: Cross multiply
    4,273.52x = 6,410.40 × 1,312.04
  4. Step 4: Simplify right side
    4,273.52x = 8,410,701.22
  5. Step 5: Solve for x
    x = 8,410,701.22/4,273.52
  6. Step 6: Final answer
    x = 1,968.10

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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.