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Finding the Fourth Proportional to 5,709.60, 8,564.40 and 1,549.60

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Solution

The fourth proportional to 5,709.60, 8,564.40 and 1,549.60 is: 2,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 8,564.40 = 1,549.60 : x
  2. Step 2: Convert to fraction form
    5,709.60/8,564.40 = 1,549.60/x
  3. Step 3: Cross multiply
    5,709.60x = 8,564.40 × 1,549.60
  4. Step 4: Simplify right side
    5,709.60x = 13,271,394.24
  5. Step 5: Solve for x
    x = 13,271,394.24/5,709.60
  6. Step 6: Final answer
    x = 2,324.40

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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.