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Finding the Fourth Proportional to 4,595.72, 6,374.62 and 4,438.38

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Solution

The fourth proportional to 4,595.72, 6,374.62 and 4,438.38 is: 6,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.72 : 6,374.62 = 4,438.38 : x
  2. Step 2: Convert to fraction form
    4,595.72/6,374.62 = 4,438.38/x
  3. Step 3: Cross multiply
    4,595.72x = 6,374.62 × 4,438.38
  4. Step 4: Simplify right side
    4,595.72x = 28,292,985.92
  5. Step 5: Solve for x
    x = 28,292,985.92/4,595.72
  6. Step 6: Final answer
    x = 6,156.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.