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Finding the Fourth Proportional to 5,644.34, 7,780.56 and 4,447.10

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Solution

The fourth proportional to 5,644.34, 7,780.56 and 4,447.10 is: 6,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.34 : 7,780.56 = 4,447.10 : x
  2. Step 2: Convert to fraction form
    5,644.34/7,780.56 = 4,447.10/x
  3. Step 3: Cross multiply
    5,644.34x = 7,780.56 × 4,447.10
  4. Step 4: Simplify right side
    5,644.34x = 34,600,928.38
  5. Step 5: Solve for x
    x = 34,600,928.38/5,644.34
  6. Step 6: Final answer
    x = 6,130.20

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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.