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Finding the Fourth Proportional to 5,851.32, 8,076.74 and 4,658.48

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Solution

The fourth proportional to 5,851.32, 8,076.74 and 4,658.48 is: 6,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.32 : 8,076.74 = 4,658.48 : x
  2. Step 2: Convert to fraction form
    5,851.32/8,076.74 = 4,658.48/x
  3. Step 3: Cross multiply
    5,851.32x = 8,076.74 × 4,658.48
  4. Step 4: Simplify right side
    5,851.32x = 37,625,331.76
  5. Step 5: Solve for x
    x = 37,625,331.76/5,851.32
  6. Step 6: Final answer
    x = 6,430.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.