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Finding the Fourth Proportional to 5,547.32, 8,314 and 2,774.76

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Solution

The fourth proportional to 5,547.32, 8,314 and 2,774.76 is: 4,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.32 : 8,314 = 2,774.76 : x
  2. Step 2: Convert to fraction form
    5,547.32/8,314 = 2,774.76/x
  3. Step 3: Cross multiply
    5,547.32x = 8,314 × 2,774.76
  4. Step 4: Simplify right side
    5,547.32x = 23,069,354.64
  5. Step 5: Solve for x
    x = 23,069,354.64/5,547.32
  6. Step 6: Final answer
    x = 4,158.65

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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.