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Finding the Fourth Proportional to 3,271.56, 4,907.64 and 1,050.46

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Solution

The fourth proportional to 3,271.56, 4,907.64 and 1,050.46 is: 1,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.56 : 4,907.64 = 1,050.46 : x
  2. Step 2: Convert to fraction form
    3,271.56/4,907.64 = 1,050.46/x
  3. Step 3: Cross multiply
    3,271.56x = 4,907.64 × 1,050.46
  4. Step 4: Simplify right side
    3,271.56x = 5,155,279.51
  5. Step 5: Solve for x
    x = 5,155,279.51/3,271.56
  6. Step 6: Final answer
    x = 1,575.79

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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.