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Finding the Fourth Proportional to 4,662.58, 6,989.91 and 2,064.10

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Solution

The fourth proportional to 4,662.58, 6,989.91 and 2,064.10 is: 3,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.58 : 6,989.91 = 2,064.10 : x
  2. Step 2: Convert to fraction form
    4,662.58/6,989.91 = 2,064.10/x
  3. Step 3: Cross multiply
    4,662.58x = 6,989.91 × 2,064.10
  4. Step 4: Simplify right side
    4,662.58x = 14,427,873.23
  5. Step 5: Solve for x
    x = 14,427,873.23/4,662.58
  6. Step 6: Final answer
    x = 3,094.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.