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Finding the Fourth Proportional to 5,248.08, 7,242 and 3,428.08

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Solution

The fourth proportional to 5,248.08, 7,242 and 3,428.08 is: 4,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.08 : 7,242 = 3,428.08 : x
  2. Step 2: Convert to fraction form
    5,248.08/7,242 = 3,428.08/x
  3. Step 3: Cross multiply
    5,248.08x = 7,242 × 3,428.08
  4. Step 4: Simplify right side
    5,248.08x = 24,826,155.36
  5. Step 5: Solve for x
    x = 24,826,155.36/5,248.08
  6. Step 6: Final answer
    x = 4,730.52

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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.