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Finding the Fourth Proportional to 5,302.88, 7,967.16 and 4,680.80

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Solution

The fourth proportional to 5,302.88, 7,967.16 and 4,680.80 is: 7,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.88 : 7,967.16 = 4,680.80 : x
  2. Step 2: Convert to fraction form
    5,302.88/7,967.16 = 4,680.80/x
  3. Step 3: Cross multiply
    5,302.88x = 7,967.16 × 4,680.80
  4. Step 4: Simplify right side
    5,302.88x = 37,292,682.53
  5. Step 5: Solve for x
    x = 37,292,682.53/5,302.88
  6. Step 6: Final answer
    x = 7,032.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.