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Finding the Fourth Proportional to 5,852.41, 8,771.02 and 4,460.63

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Solution

The fourth proportional to 5,852.41, 8,771.02 and 4,460.63 is: 6,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.41 : 8,771.02 = 4,460.63 : x
  2. Step 2: Convert to fraction form
    5,852.41/8,771.02 = 4,460.63/x
  3. Step 3: Cross multiply
    5,852.41x = 8,771.02 × 4,460.63
  4. Step 4: Simplify right side
    5,852.41x = 39,124,219.94
  5. Step 5: Solve for x
    x = 39,124,219.94/5,852.41
  6. Step 6: Final answer
    x = 6,685.15

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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.