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Finding the Fourth Proportional to 5,109.56, 7,038.52 and 4,445.22

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Solution

The fourth proportional to 5,109.56, 7,038.52 and 4,445.22 is: 6,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.56 : 7,038.52 = 4,445.22 : x
  2. Step 2: Convert to fraction form
    5,109.56/7,038.52 = 4,445.22/x
  3. Step 3: Cross multiply
    5,109.56x = 7,038.52 × 4,445.22
  4. Step 4: Simplify right side
    5,109.56x = 31,287,758.76
  5. Step 5: Solve for x
    x = 31,287,758.76/5,109.56
  6. Step 6: Final answer
    x = 6,123.38

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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.