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Finding the Fourth Proportional to 3,117.57, 4,677.72 and 1,362.30

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Solution

The fourth proportional to 3,117.57, 4,677.72 and 1,362.30 is: 2,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.57 : 4,677.72 = 1,362.30 : x
  2. Step 2: Convert to fraction form
    3,117.57/4,677.72 = 1,362.30/x
  3. Step 3: Cross multiply
    3,117.57x = 4,677.72 × 1,362.30
  4. Step 4: Simplify right side
    3,117.57x = 6,372,457.96
  5. Step 5: Solve for x
    x = 6,372,457.96/3,117.57
  6. Step 6: Final answer
    x = 2,044.05

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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.