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Finding the Fourth Proportional to 5,762.48, 8,604.22 and 5,071.28

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Solution

The fourth proportional to 5,762.48, 8,604.22 and 5,071.28 is: 7,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.48 : 8,604.22 = 5,071.28 : x
  2. Step 2: Convert to fraction form
    5,762.48/8,604.22 = 5,071.28/x
  3. Step 3: Cross multiply
    5,762.48x = 8,604.22 × 5,071.28
  4. Step 4: Simplify right side
    5,762.48x = 43,634,408.80
  5. Step 5: Solve for x
    x = 43,634,408.80/5,762.48
  6. Step 6: Final answer
    x = 7,572.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.