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Finding the Fourth Proportional to 5,492.16, 7,577.07 and 3,133.05

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Solution

The fourth proportional to 5,492.16, 7,577.07 and 3,133.05 is: 4,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.16 : 7,577.07 = 3,133.05 : x
  2. Step 2: Convert to fraction form
    5,492.16/7,577.07 = 3,133.05/x
  3. Step 3: Cross multiply
    5,492.16x = 7,577.07 × 3,133.05
  4. Step 4: Simplify right side
    5,492.16x = 23,739,339.16
  5. Step 5: Solve for x
    x = 23,739,339.16/5,492.16
  6. Step 6: Final answer
    x = 4,322.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.