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Finding the Fourth Proportional to 4,810.31, 7,215.74 and 1,347.83

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Solution

The fourth proportional to 4,810.31, 7,215.74 and 1,347.83 is: 2,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.31 : 7,215.74 = 1,347.83 : x
  2. Step 2: Convert to fraction form
    4,810.31/7,215.74 = 1,347.83/x
  3. Step 3: Cross multiply
    4,810.31x = 7,215.74 × 1,347.83
  4. Step 4: Simplify right side
    4,810.31x = 9,725,612.25
  5. Step 5: Solve for x
    x = 9,725,612.25/4,810.31
  6. Step 6: Final answer
    x = 2,021.83

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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.