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Finding the Fourth Proportional to 3,564.35, 5,347.59 and 2,526.35

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Solution

The fourth proportional to 3,564.35, 5,347.59 and 2,526.35 is: 3,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.35 : 5,347.59 = 2,526.35 : x
  2. Step 2: Convert to fraction form
    3,564.35/5,347.59 = 2,526.35/x
  3. Step 3: Cross multiply
    3,564.35x = 5,347.59 × 2,526.35
  4. Step 4: Simplify right side
    3,564.35x = 13,509,857.26
  5. Step 5: Solve for x
    x = 13,509,857.26/3,564.35
  6. Step 6: Final answer
    x = 3,790.28

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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.