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Finding the Fourth Proportional to 5,655.62, 7,803.34 and 4,145.38

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Solution

The fourth proportional to 5,655.62, 7,803.34 and 4,145.38 is: 5,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.62 : 7,803.34 = 4,145.38 : x
  2. Step 2: Convert to fraction form
    5,655.62/7,803.34 = 4,145.38/x
  3. Step 3: Cross multiply
    5,655.62x = 7,803.34 × 4,145.38
  4. Step 4: Simplify right side
    5,655.62x = 32,347,779.70
  5. Step 5: Solve for x
    x = 32,347,779.70/5,655.62
  6. Step 6: Final answer
    x = 5,719.58

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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.