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Finding the Fourth Proportional to 4,867.56, 7,302.56 and 1,404.81

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Solution

The fourth proportional to 4,867.56, 7,302.56 and 1,404.81 is: 2,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.56 : 7,302.56 = 1,404.81 : x
  2. Step 2: Convert to fraction form
    4,867.56/7,302.56 = 1,404.81/x
  3. Step 3: Cross multiply
    4,867.56x = 7,302.56 × 1,404.81
  4. Step 4: Simplify right side
    4,867.56x = 10,258,702.29
  5. Step 5: Solve for x
    x = 10,258,702.29/4,867.56
  6. Step 6: Final answer
    x = 2,107.57

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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.