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Finding the Fourth Proportional to 5,807.61, 8,710.70 and 2,109.69

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Solution

The fourth proportional to 5,807.61, 8,710.70 and 2,109.69 is: 3,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.61 : 8,710.70 = 2,109.69 : x
  2. Step 2: Convert to fraction form
    5,807.61/8,710.70 = 2,109.69/x
  3. Step 3: Cross multiply
    5,807.61x = 8,710.70 × 2,109.69
  4. Step 4: Simplify right side
    5,807.61x = 18,376,866.13
  5. Step 5: Solve for x
    x = 18,376,866.13/5,807.61
  6. Step 6: Final answer
    x = 3,164.27

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1.5x scale

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.