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Finding the Fourth Proportional to 4,681.68, 6,461.04 and 2,692.80

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Solution

The fourth proportional to 4,681.68, 6,461.04 and 2,692.80 is: 3,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.68 : 6,461.04 = 2,692.80 : x
  2. Step 2: Convert to fraction form
    4,681.68/6,461.04 = 2,692.80/x
  3. Step 3: Cross multiply
    4,681.68x = 6,461.04 × 2,692.80
  4. Step 4: Simplify right side
    4,681.68x = 17,398,288.51
  5. Step 5: Solve for x
    x = 17,398,288.51/4,681.68
  6. Step 6: Final answer
    x = 3,716.25

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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.