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Finding the Fourth Proportional to 6,484.64, 8,948.80 and 3,833

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Solution

The fourth proportional to 6,484.64, 8,948.80 and 3,833 is: 5,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.64 : 8,948.80 = 3,833 : x
  2. Step 2: Convert to fraction form
    6,484.64/8,948.80 = 3,833/x
  3. Step 3: Cross multiply
    6,484.64x = 8,948.80 × 3,833
  4. Step 4: Simplify right side
    6,484.64x = 34,300,750.40
  5. Step 5: Solve for x
    x = 34,300,750.40/6,484.64
  6. Step 6: Final answer
    x = 5,289.54

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Why These Related Problems?

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