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Finding the Fourth Proportional to 4,235.50, 6,353.61 and 1,157.50

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Solution

The fourth proportional to 4,235.50, 6,353.61 and 1,157.50 is: 1,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.50 : 6,353.61 = 1,157.50 : x
  2. Step 2: Convert to fraction form
    4,235.50/6,353.61 = 1,157.50/x
  3. Step 3: Cross multiply
    4,235.50x = 6,353.61 × 1,157.50
  4. Step 4: Simplify right side
    4,235.50x = 7,354,303.58
  5. Step 5: Solve for x
    x = 7,354,303.58/4,235.50
  6. Step 6: Final answer
    x = 1,736.35

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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.