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Finding the Fourth Proportional to 4,653.56, 6,417.48 and 3,057.38

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Solution

The fourth proportional to 4,653.56, 6,417.48 and 3,057.38 is: 4,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.56 : 6,417.48 = 3,057.38 : x
  2. Step 2: Convert to fraction form
    4,653.56/6,417.48 = 3,057.38/x
  3. Step 3: Cross multiply
    4,653.56x = 6,417.48 × 3,057.38
  4. Step 4: Simplify right side
    4,653.56x = 19,620,675.00
  5. Step 5: Solve for x
    x = 19,620,675.00/4,653.56
  6. Step 6: Final answer
    x = 4,216.27

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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.