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Finding the Fourth Proportional to 4,681.62, 7,026.51 and 1,909.80

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Solution

The fourth proportional to 4,681.62, 7,026.51 and 1,909.80 is: 2,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.62 : 7,026.51 = 1,909.80 : x
  2. Step 2: Convert to fraction form
    4,681.62/7,026.51 = 1,909.80/x
  3. Step 3: Cross multiply
    4,681.62x = 7,026.51 × 1,909.80
  4. Step 4: Simplify right side
    4,681.62x = 13,419,228.80
  5. Step 5: Solve for x
    x = 13,419,228.80/4,681.62
  6. Step 6: Final answer
    x = 2,866.36

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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.