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Finding the Fourth Proportional to 4,295.46, 6,442.12 and 1,175.48

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Solution

The fourth proportional to 4,295.46, 6,442.12 and 1,175.48 is: 1,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.46 : 6,442.12 = 1,175.48 : x
  2. Step 2: Convert to fraction form
    4,295.46/6,442.12 = 1,175.48/x
  3. Step 3: Cross multiply
    4,295.46x = 6,442.12 × 1,175.48
  4. Step 4: Simplify right side
    4,295.46x = 7,572,583.22
  5. Step 5: Solve for x
    x = 7,572,583.22/4,295.46
  6. Step 6: Final answer
    x = 1,762.93

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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.