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Finding the Fourth Proportional to 3,317.76, 4,564.35 and 3,225.42

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Solution

The fourth proportional to 3,317.76, 4,564.35 and 3,225.42 is: 4,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.76 : 4,564.35 = 3,225.42 : x
  2. Step 2: Convert to fraction form
    3,317.76/4,564.35 = 3,225.42/x
  3. Step 3: Cross multiply
    3,317.76x = 4,564.35 × 3,225.42
  4. Step 4: Simplify right side
    3,317.76x = 14,721,945.78
  5. Step 5: Solve for x
    x = 14,721,945.78/3,317.76
  6. Step 6: Final answer
    x = 4,437.31

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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.