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Finding the Fourth Proportional to 5,698.24, 7,865.04 and 3,603.52

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Solution

The fourth proportional to 5,698.24, 7,865.04 and 3,603.52 is: 4,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.24 : 7,865.04 = 3,603.52 : x
  2. Step 2: Convert to fraction form
    5,698.24/7,865.04 = 3,603.52/x
  3. Step 3: Cross multiply
    5,698.24x = 7,865.04 × 3,603.52
  4. Step 4: Simplify right side
    5,698.24x = 28,341,828.94
  5. Step 5: Solve for x
    x = 28,341,828.94/5,698.24
  6. Step 6: Final answer
    x = 4,973.79

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