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Finding the Fourth Proportional to 4,570.44, 6,852 and 4,312.86

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Solution

The fourth proportional to 4,570.44, 6,852 and 4,312.86 is: 6,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.44 : 6,852 = 4,312.86 : x
  2. Step 2: Convert to fraction form
    4,570.44/6,852 = 4,312.86/x
  3. Step 3: Cross multiply
    4,570.44x = 6,852 × 4,312.86
  4. Step 4: Simplify right side
    4,570.44x = 29,551,716.72
  5. Step 5: Solve for x
    x = 29,551,716.72/4,570.44
  6. Step 6: Final answer
    x = 6,465.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.