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Finding the Fourth Proportional to 5,503.16, 8,254.74 and 2,427.32

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Solution

The fourth proportional to 5,503.16, 8,254.74 and 2,427.32 is: 3,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.16 : 8,254.74 = 2,427.32 : x
  2. Step 2: Convert to fraction form
    5,503.16/8,254.74 = 2,427.32/x
  3. Step 3: Cross multiply
    5,503.16x = 8,254.74 × 2,427.32
  4. Step 4: Simplify right side
    5,503.16x = 20,036,895.50
  5. Step 5: Solve for x
    x = 20,036,895.50/5,503.16
  6. Step 6: Final answer
    x = 3,640.98

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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.