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Finding the Fourth Proportional to 3,312.30, 4,967.22 and 971.70

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Solution

The fourth proportional to 3,312.30, 4,967.22 and 971.70 is: 1,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.30 : 4,967.22 = 971.70 : x
  2. Step 2: Convert to fraction form
    3,312.30/4,967.22 = 971.70/x
  3. Step 3: Cross multiply
    3,312.30x = 4,967.22 × 971.70
  4. Step 4: Simplify right side
    3,312.30x = 4,826,647.67
  5. Step 5: Solve for x
    x = 4,826,647.67/3,312.30
  6. Step 6: Final answer
    x = 1,457.19

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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.