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Finding the Fourth Proportional to 4,465.71, 6,157.88 and 3,765.27

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Solution

The fourth proportional to 4,465.71, 6,157.88 and 3,765.27 is: 5,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.71 : 6,157.88 = 3,765.27 : x
  2. Step 2: Convert to fraction form
    4,465.71/6,157.88 = 3,765.27/x
  3. Step 3: Cross multiply
    4,465.71x = 6,157.88 × 3,765.27
  4. Step 4: Simplify right side
    4,465.71x = 23,186,038.91
  5. Step 5: Solve for x
    x = 23,186,038.91/4,465.71
  6. Step 6: Final answer
    x = 5,192.02

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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.