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Finding the Fourth Proportional to 4,986, 6,880.32 and 3,416.40

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Solution

The fourth proportional to 4,986, 6,880.32 and 3,416.40 is: 4,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986 : 6,880.32 = 3,416.40 : x
  2. Step 2: Convert to fraction form
    4,986/6,880.32 = 3,416.40/x
  3. Step 3: Cross multiply
    4,986x = 6,880.32 × 3,416.40
  4. Step 4: Simplify right side
    4,986x = 23,505,925.25
  5. Step 5: Solve for x
    x = 23,505,925.25/4,986
  6. Step 6: Final answer
    x = 4,714.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.