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Finding the Fourth Proportional to 5,696.37, 8,547.81 and 4,549.41

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Solution

The fourth proportional to 5,696.37, 8,547.81 and 4,549.41 is: 6,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.37 : 8,547.81 = 4,549.41 : x
  2. Step 2: Convert to fraction form
    5,696.37/8,547.81 = 4,549.41/x
  3. Step 3: Cross multiply
    5,696.37x = 8,547.81 × 4,549.41
  4. Step 4: Simplify right side
    5,696.37x = 38,887,492.29
  5. Step 5: Solve for x
    x = 38,887,492.29/5,696.37
  6. Step 6: Final answer
    x = 6,826.71

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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.