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Finding the Fourth Proportional to 5,232.63, 7,836.64 and 2,453.32

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Solution

The fourth proportional to 5,232.63, 7,836.64 and 2,453.32 is: 3,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.63 : 7,836.64 = 2,453.32 : x
  2. Step 2: Convert to fraction form
    5,232.63/7,836.64 = 2,453.32/x
  3. Step 3: Cross multiply
    5,232.63x = 7,836.64 × 2,453.32
  4. Step 4: Simplify right side
    5,232.63x = 19,225,746.46
  5. Step 5: Solve for x
    x = 19,225,746.46/5,232.63
  6. Step 6: Final answer
    x = 3,674.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.