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Finding the Fourth Proportional to 5,051, 6,970.12 and 2,955

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Solution

The fourth proportional to 5,051, 6,970.12 and 2,955 is: 4,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051 : 6,970.12 = 2,955 : x
  2. Step 2: Convert to fraction form
    5,051/6,970.12 = 2,955/x
  3. Step 3: Cross multiply
    5,051x = 6,970.12 × 2,955
  4. Step 4: Simplify right side
    5,051x = 20,596,704.60
  5. Step 5: Solve for x
    x = 20,596,704.60/5,051
  6. Step 6: Final answer
    x = 4,077.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.