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Finding the Fourth Proportional to 4,209.66, 5,807.97 and 2,530.80

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Solution

The fourth proportional to 4,209.66, 5,807.97 and 2,530.80 is: 3,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.66 : 5,807.97 = 2,530.80 : x
  2. Step 2: Convert to fraction form
    4,209.66/5,807.97 = 2,530.80/x
  3. Step 3: Cross multiply
    4,209.66x = 5,807.97 × 2,530.80
  4. Step 4: Simplify right side
    4,209.66x = 14,698,810.48
  5. Step 5: Solve for x
    x = 14,698,810.48/4,209.66
  6. Step 6: Final answer
    x = 3,491.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.