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Finding the Fourth Proportional to 6,547.89, 9,037.32 and 3,753.39

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Solution

The fourth proportional to 6,547.89, 9,037.32 and 3,753.39 is: 5,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.89 : 9,037.32 = 3,753.39 : x
  2. Step 2: Convert to fraction form
    6,547.89/9,037.32 = 3,753.39/x
  3. Step 3: Cross multiply
    6,547.89x = 9,037.32 × 3,753.39
  4. Step 4: Simplify right side
    6,547.89x = 33,920,586.51
  5. Step 5: Solve for x
    x = 33,920,586.51/6,547.89
  6. Step 6: Final answer
    x = 5,180.38

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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.