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Finding the Fourth Proportional to 5,216.48, 7,813.04 and 4,038.44

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Solution

The fourth proportional to 5,216.48, 7,813.04 and 4,038.44 is: 6,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.48 : 7,813.04 = 4,038.44 : x
  2. Step 2: Convert to fraction form
    5,216.48/7,813.04 = 4,038.44/x
  3. Step 3: Cross multiply
    5,216.48x = 7,813.04 × 4,038.44
  4. Step 4: Simplify right side
    5,216.48x = 31,552,493.26
  5. Step 5: Solve for x
    x = 31,552,493.26/5,216.48
  6. Step 6: Final answer
    x = 6,048.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.