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Finding the Fourth Proportional to 3,503.42, 5,255.43 and 1,859.93

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Solution

The fourth proportional to 3,503.42, 5,255.43 and 1,859.93 is: 2,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.42 : 5,255.43 = 1,859.93 : x
  2. Step 2: Convert to fraction form
    3,503.42/5,255.43 = 1,859.93/x
  3. Step 3: Cross multiply
    3,503.42x = 5,255.43 × 1,859.93
  4. Step 4: Simplify right side
    3,503.42x = 9,774,718.38
  5. Step 5: Solve for x
    x = 9,774,718.38/3,503.42
  6. Step 6: Final answer
    x = 2,790.05

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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.