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Finding the Fourth Proportional to 4,182.64, 6,274.26 and 1,409.32

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Solution

The fourth proportional to 4,182.64, 6,274.26 and 1,409.32 is: 2,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.64 : 6,274.26 = 1,409.32 : x
  2. Step 2: Convert to fraction form
    4,182.64/6,274.26 = 1,409.32/x
  3. Step 3: Cross multiply
    4,182.64x = 6,274.26 × 1,409.32
  4. Step 4: Simplify right side
    4,182.64x = 8,842,440.10
  5. Step 5: Solve for x
    x = 8,842,440.10/4,182.64
  6. Step 6: Final answer
    x = 2,114.08

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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.