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Finding the Fourth Proportional to 5,017.84, 7,534.07 and 3,705.64

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Solution

The fourth proportional to 5,017.84, 7,534.07 and 3,705.64 is: 5,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.84 : 7,534.07 = 3,705.64 : x
  2. Step 2: Convert to fraction form
    5,017.84/7,534.07 = 3,705.64/x
  3. Step 3: Cross multiply
    5,017.84x = 7,534.07 × 3,705.64
  4. Step 4: Simplify right side
    5,017.84x = 27,918,532.63
  5. Step 5: Solve for x
    x = 27,918,532.63/5,017.84
  6. Step 6: Final answer
    x = 5,563.85

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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.