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Finding the Fourth Proportional to 3,871.19, 5,802.86 and 1,530.27

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Solution

The fourth proportional to 3,871.19, 5,802.86 and 1,530.27 is: 2,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.19 : 5,802.86 = 1,530.27 : x
  2. Step 2: Convert to fraction form
    3,871.19/5,802.86 = 1,530.27/x
  3. Step 3: Cross multiply
    3,871.19x = 5,802.86 × 1,530.27
  4. Step 4: Simplify right side
    3,871.19x = 8,879,946.40
  5. Step 5: Solve for x
    x = 8,879,946.40/3,871.19
  6. Step 6: Final answer
    x = 2,293.85

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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.