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Finding the Fourth Proportional to 3,643.47, 5,464.42 and 1,303.64

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Solution

The fourth proportional to 3,643.47, 5,464.42 and 1,303.64 is: 1,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.47 : 5,464.42 = 1,303.64 : x
  2. Step 2: Convert to fraction form
    3,643.47/5,464.42 = 1,303.64/x
  3. Step 3: Cross multiply
    3,643.47x = 5,464.42 × 1,303.64
  4. Step 4: Simplify right side
    3,643.47x = 7,123,623.47
  5. Step 5: Solve for x
    x = 7,123,623.47/3,643.47
  6. Step 6: Final answer
    x = 1,955.17

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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.