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Finding the Fourth Proportional to 3,312.35, 4,967.25 and 971.57

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Solution

The fourth proportional to 3,312.35, 4,967.25 and 971.57 is: 1,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.35 : 4,967.25 = 971.57 : x
  2. Step 2: Convert to fraction form
    3,312.35/4,967.25 = 971.57/x
  3. Step 3: Cross multiply
    3,312.35x = 4,967.25 × 971.57
  4. Step 4: Simplify right side
    3,312.35x = 4,826,006.25
  5. Step 5: Solve for x
    x = 4,826,006.25/3,312.35
  6. Step 6: Final answer
    x = 1,456.98

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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.