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Finding the Fourth Proportional to 5,602.37, 7,727.40 and 5,103

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Solution

The fourth proportional to 5,602.37, 7,727.40 and 5,103 is: 7,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.37 : 7,727.40 = 5,103 : x
  2. Step 2: Convert to fraction form
    5,602.37/7,727.40 = 5,103/x
  3. Step 3: Cross multiply
    5,602.37x = 7,727.40 × 5,103
  4. Step 4: Simplify right side
    5,602.37x = 39,432,922.20
  5. Step 5: Solve for x
    x = 39,432,922.20/5,602.37
  6. Step 6: Final answer
    x = 7,038.62

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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.