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Finding the Fourth Proportional to 4,702.74, 7,054.47 and 1,582.76

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Solution

The fourth proportional to 4,702.74, 7,054.47 and 1,582.76 is: 2,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.74 : 7,054.47 = 1,582.76 : x
  2. Step 2: Convert to fraction form
    4,702.74/7,054.47 = 1,582.76/x
  3. Step 3: Cross multiply
    4,702.74x = 7,054.47 × 1,582.76
  4. Step 4: Simplify right side
    4,702.74x = 11,165,497.66
  5. Step 5: Solve for x
    x = 11,165,497.66/4,702.74
  6. Step 6: Final answer
    x = 2,374.25

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