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Finding the Fourth Proportional to 5,751.48, 8,626.80 and 1,534.41

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Solution

The fourth proportional to 5,751.48, 8,626.80 and 1,534.41 is: 2,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.48 : 8,626.80 = 1,534.41 : x
  2. Step 2: Convert to fraction form
    5,751.48/8,626.80 = 1,534.41/x
  3. Step 3: Cross multiply
    5,751.48x = 8,626.80 × 1,534.41
  4. Step 4: Simplify right side
    5,751.48x = 13,237,048.19
  5. Step 5: Solve for x
    x = 13,237,048.19/5,751.48
  6. Step 6: Final answer
    x = 2,301.50

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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.