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Finding the Fourth Proportional to 3,564.84, 5,341.62 and 2,586.36

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Solution

The fourth proportional to 3,564.84, 5,341.62 and 2,586.36 is: 3,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 5,341.62 = 2,586.36 : x
  2. Step 2: Convert to fraction form
    3,564.84/5,341.62 = 2,586.36/x
  3. Step 3: Cross multiply
    3,564.84x = 5,341.62 × 2,586.36
  4. Step 4: Simplify right side
    3,564.84x = 13,815,352.30
  5. Step 5: Solve for x
    x = 13,815,352.30/3,564.84
  6. Step 6: Final answer
    x = 3,875.45

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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.