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Finding the Fourth Proportional to 4,557.72, 6,835.54 and 1,271.09

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Solution

The fourth proportional to 4,557.72, 6,835.54 and 1,271.09 is: 1,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.72 : 6,835.54 = 1,271.09 : x
  2. Step 2: Convert to fraction form
    4,557.72/6,835.54 = 1,271.09/x
  3. Step 3: Cross multiply
    4,557.72x = 6,835.54 × 1,271.09
  4. Step 4: Simplify right side
    4,557.72x = 8,688,602.83
  5. Step 5: Solve for x
    x = 8,688,602.83/4,557.72
  6. Step 6: Final answer
    x = 1,906.35

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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.