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Finding the Fourth Proportional to 5,254.35, 7,870.75 and 4,208.69

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Solution

The fourth proportional to 5,254.35, 7,870.75 and 4,208.69 is: 6,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.35 : 7,870.75 = 4,208.69 : x
  2. Step 2: Convert to fraction form
    5,254.35/7,870.75 = 4,208.69/x
  3. Step 3: Cross multiply
    5,254.35x = 7,870.75 × 4,208.69
  4. Step 4: Simplify right side
    5,254.35x = 33,125,579.65
  5. Step 5: Solve for x
    x = 33,125,579.65/5,254.35
  6. Step 6: Final answer
    x = 6,304.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.