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Finding the Fourth Proportional to 4,969.47, 7,454.10 and 1,271.64

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Solution

The fourth proportional to 4,969.47, 7,454.10 and 1,271.64 is: 1,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.47 : 7,454.10 = 1,271.64 : x
  2. Step 2: Convert to fraction form
    4,969.47/7,454.10 = 1,271.64/x
  3. Step 3: Cross multiply
    4,969.47x = 7,454.10 × 1,271.64
  4. Step 4: Simplify right side
    4,969.47x = 9,478,931.72
  5. Step 5: Solve for x
    x = 9,478,931.72/4,969.47
  6. Step 6: Final answer
    x = 1,907.43

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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.