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Finding the Fourth Proportional to 4,984.24, 6,878 and 2,994.40

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Solution

The fourth proportional to 4,984.24, 6,878 and 2,994.40 is: 4,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.24 : 6,878 = 2,994.40 : x
  2. Step 2: Convert to fraction form
    4,984.24/6,878 = 2,994.40/x
  3. Step 3: Cross multiply
    4,984.24x = 6,878 × 2,994.40
  4. Step 4: Simplify right side
    4,984.24x = 20,595,483.20
  5. Step 5: Solve for x
    x = 20,595,483.20/4,984.24
  6. Step 6: Final answer
    x = 4,132.12

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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.