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Finding the Fourth Proportional to 4,952.70, 6,835.80 and 2,962.50

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Solution

The fourth proportional to 4,952.70, 6,835.80 and 2,962.50 is: 4,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.70 : 6,835.80 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    4,952.70/6,835.80 = 2,962.50/x
  3. Step 3: Cross multiply
    4,952.70x = 6,835.80 × 2,962.50
  4. Step 4: Simplify right side
    4,952.70x = 20,251,057.50
  5. Step 5: Solve for x
    x = 20,251,057.50/4,952.70
  6. Step 6: Final answer
    x = 4,088.89

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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.