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Finding the Fourth Proportional to 4,300, 5,933.96 and 2,437

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Solution

The fourth proportional to 4,300, 5,933.96 and 2,437 is: 3,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300 : 5,933.96 = 2,437 : x
  2. Step 2: Convert to fraction form
    4,300/5,933.96 = 2,437/x
  3. Step 3: Cross multiply
    4,300x = 5,933.96 × 2,437
  4. Step 4: Simplify right side
    4,300x = 14,461,060.52
  5. Step 5: Solve for x
    x = 14,461,060.52/4,300
  6. Step 6: Final answer
    x = 3,363.04

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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.