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Finding the Fourth Proportional to 5,476.50, 7,564.05 and 3,705.03

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Solution

The fourth proportional to 5,476.50, 7,564.05 and 3,705.03 is: 5,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.50 : 7,564.05 = 3,705.03 : x
  2. Step 2: Convert to fraction form
    5,476.50/7,564.05 = 3,705.03/x
  3. Step 3: Cross multiply
    5,476.50x = 7,564.05 × 3,705.03
  4. Step 4: Simplify right side
    5,476.50x = 28,025,032.17
  5. Step 5: Solve for x
    x = 28,025,032.17/5,476.50
  6. Step 6: Final answer
    x = 5,117.33

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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.