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Finding the Fourth Proportional to 3,507.61, 5,256.40 and 2,575.86

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Solution

The fourth proportional to 3,507.61, 5,256.40 and 2,575.86 is: 3,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.61 : 5,256.40 = 2,575.86 : x
  2. Step 2: Convert to fraction form
    3,507.61/5,256.40 = 2,575.86/x
  3. Step 3: Cross multiply
    3,507.61x = 5,256.40 × 2,575.86
  4. Step 4: Simplify right side
    3,507.61x = 13,539,750.50
  5. Step 5: Solve for x
    x = 13,539,750.50/3,507.61
  6. Step 6: Final answer
    x = 3,860.11

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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.