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Finding the Fourth Proportional to 4,394.81, 6,547.83 and 4,185.83

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Solution

The fourth proportional to 4,394.81, 6,547.83 and 4,185.83 is: 6,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.81 : 6,547.83 = 4,185.83 : x
  2. Step 2: Convert to fraction form
    4,394.81/6,547.83 = 4,185.83/x
  3. Step 3: Cross multiply
    4,394.81x = 6,547.83 × 4,185.83
  4. Step 4: Simplify right side
    4,394.81x = 27,408,070.51
  5. Step 5: Solve for x
    x = 27,408,070.51/4,394.81
  6. Step 6: Final answer
    x = 6,236.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.