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Finding the Fourth Proportional to 4,986.10, 6,880.35 and 2,890

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Solution

The fourth proportional to 4,986.10, 6,880.35 and 2,890 is: 3,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.10 : 6,880.35 = 2,890 : x
  2. Step 2: Convert to fraction form
    4,986.10/6,880.35 = 2,890/x
  3. Step 3: Cross multiply
    4,986.10x = 6,880.35 × 2,890
  4. Step 4: Simplify right side
    4,986.10x = 19,884,211.50
  5. Step 5: Solve for x
    x = 19,884,211.50/4,986.10
  6. Step 6: Final answer
    x = 3,987.93

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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.