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Finding the Fourth Proportional to 4,768.92, 7,153.54 and 1,437.32

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Solution

The fourth proportional to 4,768.92, 7,153.54 and 1,437.32 is: 2,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.92 : 7,153.54 = 1,437.32 : x
  2. Step 2: Convert to fraction form
    4,768.92/7,153.54 = 1,437.32/x
  3. Step 3: Cross multiply
    4,768.92x = 7,153.54 × 1,437.32
  4. Step 4: Simplify right side
    4,768.92x = 10,281,926.11
  5. Step 5: Solve for x
    x = 10,281,926.11/4,768.92
  6. Step 6: Final answer
    x = 2,156.03

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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.