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Finding the Fourth Proportional to 4,282, 6,416.48 and 3,052

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Solution

The fourth proportional to 4,282, 6,416.48 and 3,052 is: 4,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282 : 6,416.48 = 3,052 : x
  2. Step 2: Convert to fraction form
    4,282/6,416.48 = 3,052/x
  3. Step 3: Cross multiply
    4,282x = 6,416.48 × 3,052
  4. Step 4: Simplify right side
    4,282x = 19,583,096.96
  5. Step 5: Solve for x
    x = 19,583,096.96/4,282
  6. Step 6: Final answer
    x = 4,573.35

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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.