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Finding the Fourth Proportional to 5,503.42, 8,255.50 and 1,607.50

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Solution

The fourth proportional to 5,503.42, 8,255.50 and 1,607.50 is: 2,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.42 : 8,255.50 = 1,607.50 : x
  2. Step 2: Convert to fraction form
    5,503.42/8,255.50 = 1,607.50/x
  3. Step 3: Cross multiply
    5,503.42x = 8,255.50 × 1,607.50
  4. Step 4: Simplify right side
    5,503.42x = 13,270,716.25
  5. Step 5: Solve for x
    x = 13,270,716.25/5,503.42
  6. Step 6: Final answer
    x = 2,411.36

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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.