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Finding the Fourth Proportional to 5,870.40, 8,805.56 and 1,766.40

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Solution

The fourth proportional to 5,870.40, 8,805.56 and 1,766.40 is: 2,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.40 : 8,805.56 = 1,766.40 : x
  2. Step 2: Convert to fraction form
    5,870.40/8,805.56 = 1,766.40/x
  3. Step 3: Cross multiply
    5,870.40x = 8,805.56 × 1,766.40
  4. Step 4: Simplify right side
    5,870.40x = 15,554,141.18
  5. Step 5: Solve for x
    x = 15,554,141.18/5,870.40
  6. Step 6: Final answer
    x = 2,649.59

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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.