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Finding the Fourth Proportional to 5,261.60, 7,920.91 and 4,802.33

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Solution

The fourth proportional to 5,261.60, 7,920.91 and 4,802.33 is: 7,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.60 : 7,920.91 = 4,802.33 : x
  2. Step 2: Convert to fraction form
    5,261.60/7,920.91 = 4,802.33/x
  3. Step 3: Cross multiply
    5,261.60x = 7,920.91 × 4,802.33
  4. Step 4: Simplify right side
    5,261.60x = 38,038,823.72
  5. Step 5: Solve for x
    x = 38,038,823.72/5,261.60
  6. Step 6: Final answer
    x = 7,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.