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Finding the Fourth Proportional to 3,075.76, 4,612.36 and 1,688.72

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Solution

The fourth proportional to 3,075.76, 4,612.36 and 1,688.72 is: 2,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.76 : 4,612.36 = 1,688.72 : x
  2. Step 2: Convert to fraction form
    3,075.76/4,612.36 = 1,688.72/x
  3. Step 3: Cross multiply
    3,075.76x = 4,612.36 × 1,688.72
  4. Step 4: Simplify right side
    3,075.76x = 7,788,984.58
  5. Step 5: Solve for x
    x = 7,788,984.58/3,075.76
  6. Step 6: Final answer
    x = 2,532.38

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