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Finding the Fourth Proportional to 5,802.18, 8,706.27 and 2,880.42

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Solution

The fourth proportional to 5,802.18, 8,706.27 and 2,880.42 is: 4,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.18 : 8,706.27 = 2,880.42 : x
  2. Step 2: Convert to fraction form
    5,802.18/8,706.27 = 2,880.42/x
  3. Step 3: Cross multiply
    5,802.18x = 8,706.27 × 2,880.42
  4. Step 4: Simplify right side
    5,802.18x = 25,077,714.23
  5. Step 5: Solve for x
    x = 25,077,714.23/5,802.18
  6. Step 6: Final answer
    x = 4,322.12

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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.