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Finding the Fourth Proportional to 5,870.48, 8,805.71 and 1,977.62

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Solution

The fourth proportional to 5,870.48, 8,805.71 and 1,977.62 is: 2,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.48 : 8,805.71 = 1,977.62 : x
  2. Step 2: Convert to fraction form
    5,870.48/8,805.71 = 1,977.62/x
  3. Step 3: Cross multiply
    5,870.48x = 8,805.71 × 1,977.62
  4. Step 4: Simplify right side
    5,870.48x = 17,414,309.13
  5. Step 5: Solve for x
    x = 17,414,309.13/5,870.48
  6. Step 6: Final answer
    x = 2,966.42

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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.