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Finding the Fourth Proportional to 4,646.27, 6,412.55 and 2,968.79

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Solution

The fourth proportional to 4,646.27, 6,412.55 and 2,968.79 is: 4,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.27 : 6,412.55 = 2,968.79 : x
  2. Step 2: Convert to fraction form
    4,646.27/6,412.55 = 2,968.79/x
  3. Step 3: Cross multiply
    4,646.27x = 6,412.55 × 2,968.79
  4. Step 4: Simplify right side
    4,646.27x = 19,037,537.77
  5. Step 5: Solve for x
    x = 19,037,537.77/4,646.27
  6. Step 6: Final answer
    x = 4,097.38

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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.