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Finding the Fourth Proportional to 4,702.72, 7,052.16 and 2,392.96

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Solution

The fourth proportional to 4,702.72, 7,052.16 and 2,392.96 is: 3,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.72 : 7,052.16 = 2,392.96 : x
  2. Step 2: Convert to fraction form
    4,702.72/7,052.16 = 2,392.96/x
  3. Step 3: Cross multiply
    4,702.72x = 7,052.16 × 2,392.96
  4. Step 4: Simplify right side
    4,702.72x = 16,875,536.79
  5. Step 5: Solve for x
    x = 16,875,536.79/4,702.72
  6. Step 6: Final answer
    x = 3,588.46

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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.