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Finding the Fourth Proportional to 4,285.59, 6,428.52 and 2,553

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Solution

The fourth proportional to 4,285.59, 6,428.52 and 2,553 is: 3,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.59 : 6,428.52 = 2,553 : x
  2. Step 2: Convert to fraction form
    4,285.59/6,428.52 = 2,553/x
  3. Step 3: Cross multiply
    4,285.59x = 6,428.52 × 2,553
  4. Step 4: Simplify right side
    4,285.59x = 16,412,011.56
  5. Step 5: Solve for x
    x = 16,412,011.56/4,285.59
  6. Step 6: Final answer
    x = 3,829.58

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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.