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Finding the Fourth Proportional to 4,762.19, 7,146.02 and 3,116.48

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Solution

The fourth proportional to 4,762.19, 7,146.02 and 3,116.48 is: 4,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.19 : 7,146.02 = 3,116.48 : x
  2. Step 2: Convert to fraction form
    4,762.19/7,146.02 = 3,116.48/x
  3. Step 3: Cross multiply
    4,762.19x = 7,146.02 × 3,116.48
  4. Step 4: Simplify right side
    4,762.19x = 22,270,400.47
  5. Step 5: Solve for x
    x = 22,270,400.47/4,762.19
  6. Step 6: Final answer
    x = 4,676.50

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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.