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Finding the Fourth Proportional to 5,567.84, 7,681.94 and 3,580.70

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Solution

The fourth proportional to 5,567.84, 7,681.94 and 3,580.70 is: 4,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.84 : 7,681.94 = 3,580.70 : x
  2. Step 2: Convert to fraction form
    5,567.84/7,681.94 = 3,580.70/x
  3. Step 3: Cross multiply
    5,567.84x = 7,681.94 × 3,580.70
  4. Step 4: Simplify right side
    5,567.84x = 27,506,722.56
  5. Step 5: Solve for x
    x = 27,506,722.56/5,567.84
  6. Step 6: Final answer
    x = 4,940.29

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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.