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Finding the Fourth Proportional to 4,537, 6,808.74 and 2,230.12

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Solution

The fourth proportional to 4,537, 6,808.74 and 2,230.12 is: 3,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537 : 6,808.74 = 2,230.12 : x
  2. Step 2: Convert to fraction form
    4,537/6,808.74 = 2,230.12/x
  3. Step 3: Cross multiply
    4,537x = 6,808.74 × 2,230.12
  4. Step 4: Simplify right side
    4,537x = 15,184,307.25
  5. Step 5: Solve for x
    x = 15,184,307.25/4,537
  6. Step 6: Final answer
    x = 3,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.