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Finding the Fourth Proportional to 4,677.76, 7,013.04 and 1,866.28

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Solution

The fourth proportional to 4,677.76, 7,013.04 and 1,866.28 is: 2,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.76 : 7,013.04 = 1,866.28 : x
  2. Step 2: Convert to fraction form
    4,677.76/7,013.04 = 1,866.28/x
  3. Step 3: Cross multiply
    4,677.76x = 7,013.04 × 1,866.28
  4. Step 4: Simplify right side
    4,677.76x = 13,088,296.29
  5. Step 5: Solve for x
    x = 13,088,296.29/4,677.76
  6. Step 6: Final answer
    x = 2,797.98

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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.