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Finding the Fourth Proportional to 5,655.42, 8,437.21 and 5,349.24

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Solution

The fourth proportional to 5,655.42, 8,437.21 and 5,349.24 is: 7,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.42 : 8,437.21 = 5,349.24 : x
  2. Step 2: Convert to fraction form
    5,655.42/8,437.21 = 5,349.24/x
  3. Step 3: Cross multiply
    5,655.42x = 8,437.21 × 5,349.24
  4. Step 4: Simplify right side
    5,655.42x = 45,132,677.94
  5. Step 5: Solve for x
    x = 45,132,677.94/5,655.42
  6. Step 6: Final answer
    x = 7,980.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.