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Finding the Fourth Proportional to 4,246.40, 5,858.42 and 3,130

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Solution

The fourth proportional to 4,246.40, 5,858.42 and 3,130 is: 4,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.40 : 5,858.42 = 3,130 : x
  2. Step 2: Convert to fraction form
    4,246.40/5,858.42 = 3,130/x
  3. Step 3: Cross multiply
    4,246.40x = 5,858.42 × 3,130
  4. Step 4: Simplify right side
    4,246.40x = 18,336,854.60
  5. Step 5: Solve for x
    x = 18,336,854.60/4,246.40
  6. Step 6: Final answer
    x = 4,318.21

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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.