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Finding the Fourth Proportional to 5,696.49, 8,547.16 and 2,774.01

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Solution

The fourth proportional to 5,696.49, 8,547.16 and 2,774.01 is: 4,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.49 : 8,547.16 = 2,774.01 : x
  2. Step 2: Convert to fraction form
    5,696.49/8,547.16 = 2,774.01/x
  3. Step 3: Cross multiply
    5,696.49x = 8,547.16 × 2,774.01
  4. Step 4: Simplify right side
    5,696.49x = 23,709,907.31
  5. Step 5: Solve for x
    x = 23,709,907.31/5,696.49
  6. Step 6: Final answer
    x = 4,162.20

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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.