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Finding the Fourth Proportional to 5,698.37, 8,528.10 and 4,774.97

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Solution

The fourth proportional to 5,698.37, 8,528.10 and 4,774.97 is: 7,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.37 : 8,528.10 = 4,774.97 : x
  2. Step 2: Convert to fraction form
    5,698.37/8,528.10 = 4,774.97/x
  3. Step 3: Cross multiply
    5,698.37x = 8,528.10 × 4,774.97
  4. Step 4: Simplify right side
    5,698.37x = 40,721,421.66
  5. Step 5: Solve for x
    x = 40,721,421.66/5,698.37
  6. Step 6: Final answer
    x = 7,146.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.