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Finding the Fourth Proportional to 3,566.64, 5,341.80 and 3,001.20

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Solution

The fourth proportional to 3,566.64, 5,341.80 and 3,001.20 is: 4,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.64 : 5,341.80 = 3,001.20 : x
  2. Step 2: Convert to fraction form
    3,566.64/5,341.80 = 3,001.20/x
  3. Step 3: Cross multiply
    3,566.64x = 5,341.80 × 3,001.20
  4. Step 4: Simplify right side
    3,566.64x = 16,031,810.16
  5. Step 5: Solve for x
    x = 16,031,810.16/3,566.64
  6. Step 6: Final answer
    x = 4,494.93

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