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Finding the Fourth Proportional to 5,566.40, 7,681.34 and 3,048.38

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Solution

The fourth proportional to 5,566.40, 7,681.34 and 3,048.38 is: 4,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.40 : 7,681.34 = 3,048.38 : x
  2. Step 2: Convert to fraction form
    5,566.40/7,681.34 = 3,048.38/x
  3. Step 3: Cross multiply
    5,566.40x = 7,681.34 × 3,048.38
  4. Step 4: Simplify right side
    5,566.40x = 23,415,643.23
  5. Step 5: Solve for x
    x = 23,415,643.23/5,566.40
  6. Step 6: Final answer
    x = 4,206.60

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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.