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Finding the Fourth Proportional to 4,867.33, 7,300.31 and 1,580.46

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Solution

The fourth proportional to 4,867.33, 7,300.31 and 1,580.46 is: 2,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.33 : 7,300.31 = 1,580.46 : x
  2. Step 2: Convert to fraction form
    4,867.33/7,300.31 = 1,580.46/x
  3. Step 3: Cross multiply
    4,867.33x = 7,300.31 × 1,580.46
  4. Step 4: Simplify right side
    4,867.33x = 11,537,840.04
  5. Step 5: Solve for x
    x = 11,537,840.04/4,867.33
  6. Step 6: Final answer
    x = 2,370.47

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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.