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Finding the Fourth Proportional to 4,731.11, 7,090.57 and 4,435.86

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Solution

The fourth proportional to 4,731.11, 7,090.57 and 4,435.86 is: 6,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.11 : 7,090.57 = 4,435.86 : x
  2. Step 2: Convert to fraction form
    4,731.11/7,090.57 = 4,435.86/x
  3. Step 3: Cross multiply
    4,731.11x = 7,090.57 × 4,435.86
  4. Step 4: Simplify right side
    4,731.11x = 31,452,775.84
  5. Step 5: Solve for x
    x = 31,452,775.84/4,731.11
  6. Step 6: Final answer
    x = 6,648.08

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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.