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Finding the Fourth Proportional to 4,208.04, 5,806.50 and 2,391

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Solution

The fourth proportional to 4,208.04, 5,806.50 and 2,391 is: 3,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.04 : 5,806.50 = 2,391 : x
  2. Step 2: Convert to fraction form
    4,208.04/5,806.50 = 2,391/x
  3. Step 3: Cross multiply
    4,208.04x = 5,806.50 × 2,391
  4. Step 4: Simplify right side
    4,208.04x = 13,883,341.50
  5. Step 5: Solve for x
    x = 13,883,341.50/4,208.04
  6. Step 6: Final answer
    x = 3,299.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.