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Finding the Fourth Proportional to 5,681.09, 8,521.50 and 1,521.09

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Solution

The fourth proportional to 5,681.09, 8,521.50 and 1,521.09 is: 2,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.09 : 8,521.50 = 1,521.09 : x
  2. Step 2: Convert to fraction form
    5,681.09/8,521.50 = 1,521.09/x
  3. Step 3: Cross multiply
    5,681.09x = 8,521.50 × 1,521.09
  4. Step 4: Simplify right side
    5,681.09x = 12,961,968.44
  5. Step 5: Solve for x
    x = 12,961,968.44/5,681.09
  6. Step 6: Final answer
    x = 2,281.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.