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Finding the Fourth Proportional to 5,752.48, 8,622.96 and 4,900

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Solution

The fourth proportional to 5,752.48, 8,622.96 and 4,900 is: 7,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.48 : 8,622.96 = 4,900 : x
  2. Step 2: Convert to fraction form
    5,752.48/8,622.96 = 4,900/x
  3. Step 3: Cross multiply
    5,752.48x = 8,622.96 × 4,900
  4. Step 4: Simplify right side
    5,752.48x = 42,252,504.00
  5. Step 5: Solve for x
    x = 42,252,504.00/5,752.48
  6. Step 6: Final answer
    x = 7,345.09

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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.