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Finding the Fourth Proportional to 5,744.16, 8,615.10 and 1,583.10

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Solution

The fourth proportional to 5,744.16, 8,615.10 and 1,583.10 is: 2,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.16 : 8,615.10 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    5,744.16/8,615.10 = 1,583.10/x
  3. Step 3: Cross multiply
    5,744.16x = 8,615.10 × 1,583.10
  4. Step 4: Simplify right side
    5,744.16x = 13,638,564.81
  5. Step 5: Solve for x
    x = 13,638,564.81/5,744.16
  6. Step 6: Final answer
    x = 2,374.34

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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.