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Finding the Fourth Proportional to 4,848.06, 6,696.78 and 3,907.50

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Solution

The fourth proportional to 4,848.06, 6,696.78 and 3,907.50 is: 5,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.06 : 6,696.78 = 3,907.50 : x
  2. Step 2: Convert to fraction form
    4,848.06/6,696.78 = 3,907.50/x
  3. Step 3: Cross multiply
    4,848.06x = 6,696.78 × 3,907.50
  4. Step 4: Simplify right side
    4,848.06x = 26,167,667.85
  5. Step 5: Solve for x
    x = 26,167,667.85/4,848.06
  6. Step 6: Final answer
    x = 5,397.55

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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.