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Finding the Fourth Proportional to 5,655.72, 7,804.92 and 3,137.83

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Solution

The fourth proportional to 5,655.72, 7,804.92 and 3,137.83 is: 4,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.72 : 7,804.92 = 3,137.83 : x
  2. Step 2: Convert to fraction form
    5,655.72/7,804.92 = 3,137.83/x
  3. Step 3: Cross multiply
    5,655.72x = 7,804.92 × 3,137.83
  4. Step 4: Simplify right side
    5,655.72x = 24,490,492.61
  5. Step 5: Solve for x
    x = 24,490,492.61/5,655.72
  6. Step 6: Final answer
    x = 4,330.21

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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.