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Finding the Fourth Proportional to 4,751.64, 7,157.34 and 4,460.04

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Solution

The fourth proportional to 4,751.64, 7,157.34 and 4,460.04 is: 6,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.64 : 7,157.34 = 4,460.04 : x
  2. Step 2: Convert to fraction form
    4,751.64/7,157.34 = 4,460.04/x
  3. Step 3: Cross multiply
    4,751.64x = 7,157.34 × 4,460.04
  4. Step 4: Simplify right side
    4,751.64x = 31,922,022.69
  5. Step 5: Solve for x
    x = 31,922,022.69/4,751.64
  6. Step 6: Final answer
    x = 6,718.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.