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Finding the Fourth Proportional to 5,488.76, 7,574.66 and 3,004.76

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Solution

The fourth proportional to 5,488.76, 7,574.66 and 3,004.76 is: 4,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.76 : 7,574.66 = 3,004.76 : x
  2. Step 2: Convert to fraction form
    5,488.76/7,574.66 = 3,004.76/x
  3. Step 3: Cross multiply
    5,488.76x = 7,574.66 × 3,004.76
  4. Step 4: Simplify right side
    5,488.76x = 22,760,035.38
  5. Step 5: Solve for x
    x = 22,760,035.38/5,488.76
  6. Step 6: Final answer
    x = 4,146.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.