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Finding the Fourth Proportional to 4,235.58, 6,352.56 and 1,603.32

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Solution

The fourth proportional to 4,235.58, 6,352.56 and 1,603.32 is: 2,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.58 : 6,352.56 = 1,603.32 : x
  2. Step 2: Convert to fraction form
    4,235.58/6,352.56 = 1,603.32/x
  3. Step 3: Cross multiply
    4,235.58x = 6,352.56 × 1,603.32
  4. Step 4: Simplify right side
    4,235.58x = 10,185,186.50
  5. Step 5: Solve for x
    x = 10,185,186.50/4,235.58
  6. Step 6: Final answer
    x = 2,404.67

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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.