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Finding the Fourth Proportional to 4,656.53, 6,435.23 and 3,815.91

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Solution

The fourth proportional to 4,656.53, 6,435.23 and 3,815.91 is: 5,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.53 : 6,435.23 = 3,815.91 : x
  2. Step 2: Convert to fraction form
    4,656.53/6,435.23 = 3,815.91/x
  3. Step 3: Cross multiply
    4,656.53x = 6,435.23 × 3,815.91
  4. Step 4: Simplify right side
    4,656.53x = 24,556,258.51
  5. Step 5: Solve for x
    x = 24,556,258.51/4,656.53
  6. Step 6: Final answer
    x = 5,273.51

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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.