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Finding the Fourth Proportional to 4,888.96, 7,332 and 2,289.28

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Solution

The fourth proportional to 4,888.96, 7,332 and 2,289.28 is: 3,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.96 : 7,332 = 2,289.28 : x
  2. Step 2: Convert to fraction form
    4,888.96/7,332 = 2,289.28/x
  3. Step 3: Cross multiply
    4,888.96x = 7,332 × 2,289.28
  4. Step 4: Simplify right side
    4,888.96x = 16,785,000.96
  5. Step 5: Solve for x
    x = 16,785,000.96/4,888.96
  6. Step 6: Final answer
    x = 3,433.25

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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.