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Finding the Fourth Proportional to 5,574, 7,693.55 and 3,784.48

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Solution

The fourth proportional to 5,574, 7,693.55 and 3,784.48 is: 5,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 7,693.55 = 3,784.48 : x
  2. Step 2: Convert to fraction form
    5,574/7,693.55 = 3,784.48/x
  3. Step 3: Cross multiply
    5,574x = 7,693.55 × 3,784.48
  4. Step 4: Simplify right side
    5,574x = 29,116,028.71
  5. Step 5: Solve for x
    x = 29,116,028.71/5,574
  6. Step 6: Final answer
    x = 5,223.54

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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.