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Finding the Fourth Proportional to 5,138.37, 7,703.44 and 4,848.59

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Solution

The fourth proportional to 5,138.37, 7,703.44 and 4,848.59 is: 7,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.37 : 7,703.44 = 4,848.59 : x
  2. Step 2: Convert to fraction form
    5,138.37/7,703.44 = 4,848.59/x
  3. Step 3: Cross multiply
    5,138.37x = 7,703.44 × 4,848.59
  4. Step 4: Simplify right side
    5,138.37x = 37,350,829.29
  5. Step 5: Solve for x
    x = 37,350,829.29/5,138.37
  6. Step 6: Final answer
    x = 7,269.00

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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.