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Finding the Fourth Proportional to 5,483.76, 7,567.14 and 3,358.40

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Solution

The fourth proportional to 5,483.76, 7,567.14 and 3,358.40 is: 4,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.76 : 7,567.14 = 3,358.40 : x
  2. Step 2: Convert to fraction form
    5,483.76/7,567.14 = 3,358.40/x
  3. Step 3: Cross multiply
    5,483.76x = 7,567.14 × 3,358.40
  4. Step 4: Simplify right side
    5,483.76x = 25,413,445.14
  5. Step 5: Solve for x
    x = 25,413,445.14/5,483.76
  6. Step 6: Final answer
    x = 4,634.31

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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.