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Finding the Fourth Proportional to 5,802.84, 8,706.42 and 2,294.55

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Solution

The fourth proportional to 5,802.84, 8,706.42 and 2,294.55 is: 3,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.84 : 8,706.42 = 2,294.55 : x
  2. Step 2: Convert to fraction form
    5,802.84/8,706.42 = 2,294.55/x
  3. Step 3: Cross multiply
    5,802.84x = 8,706.42 × 2,294.55
  4. Step 4: Simplify right side
    5,802.84x = 19,977,316.01
  5. Step 5: Solve for x
    x = 19,977,316.01/5,802.84
  6. Step 6: Final answer
    x = 3,442.68

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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.