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Finding the Fourth Proportional to 4,888.54, 7,328.76 and 1,966.06

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Solution

The fourth proportional to 4,888.54, 7,328.76 and 1,966.06 is: 2,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.54 : 7,328.76 = 1,966.06 : x
  2. Step 2: Convert to fraction form
    4,888.54/7,328.76 = 1,966.06/x
  3. Step 3: Cross multiply
    4,888.54x = 7,328.76 × 1,966.06
  4. Step 4: Simplify right side
    4,888.54x = 14,408,781.89
  5. Step 5: Solve for x
    x = 14,408,781.89/4,888.54
  6. Step 6: Final answer
    x = 2,947.46

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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.