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Finding the Fourth Proportional to 6,293.40, 8,679.60 and 5,301

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Solution

The fourth proportional to 6,293.40, 8,679.60 and 5,301 is: 7,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.40 : 8,679.60 = 5,301 : x
  2. Step 2: Convert to fraction form
    6,293.40/8,679.60 = 5,301/x
  3. Step 3: Cross multiply
    6,293.40x = 8,679.60 × 5,301
  4. Step 4: Simplify right side
    6,293.40x = 46,010,559.60
  5. Step 5: Solve for x
    x = 46,010,559.60/6,293.40
  6. Step 6: Final answer
    x = 7,310.92

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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.