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Finding the Fourth Proportional to 6,275.21, 8,665.65 and 4,040.98

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Solution

The fourth proportional to 6,275.21, 8,665.65 and 4,040.98 is: 5,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.21 : 8,665.65 = 4,040.98 : x
  2. Step 2: Convert to fraction form
    6,275.21/8,665.65 = 4,040.98/x
  3. Step 3: Cross multiply
    6,275.21x = 8,665.65 × 4,040.98
  4. Step 4: Simplify right side
    6,275.21x = 35,017,718.34
  5. Step 5: Solve for x
    x = 35,017,718.34/6,275.21
  6. Step 6: Final answer
    x = 5,580.33

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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.