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Finding the Fourth Proportional to 4,870.96, 7,305.75 and 1,584.10

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Solution

The fourth proportional to 4,870.96, 7,305.75 and 1,584.10 is: 2,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.96 : 7,305.75 = 1,584.10 : x
  2. Step 2: Convert to fraction form
    4,870.96/7,305.75 = 1,584.10/x
  3. Step 3: Cross multiply
    4,870.96x = 7,305.75 × 1,584.10
  4. Step 4: Simplify right side
    4,870.96x = 11,573,038.58
  5. Step 5: Solve for x
    x = 11,573,038.58/4,870.96
  6. Step 6: Final answer
    x = 2,375.93

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