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Finding the Fourth Proportional to 3,368.64, 5,051.82 and 1,288.14

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Solution

The fourth proportional to 3,368.64, 5,051.82 and 1,288.14 is: 1,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.64 : 5,051.82 = 1,288.14 : x
  2. Step 2: Convert to fraction form
    3,368.64/5,051.82 = 1,288.14/x
  3. Step 3: Cross multiply
    3,368.64x = 5,051.82 × 1,288.14
  4. Step 4: Simplify right side
    3,368.64x = 6,507,451.41
  5. Step 5: Solve for x
    x = 6,507,451.41/3,368.64
  6. Step 6: Final answer
    x = 1,931.77

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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.