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Finding the Fourth Proportional to 5,547.82, 7,655.95 and 3,029.93

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Solution

The fourth proportional to 5,547.82, 7,655.95 and 3,029.93 is: 4,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.82 : 7,655.95 = 3,029.93 : x
  2. Step 2: Convert to fraction form
    5,547.82/7,655.95 = 3,029.93/x
  3. Step 3: Cross multiply
    5,547.82x = 7,655.95 × 3,029.93
  4. Step 4: Simplify right side
    5,547.82x = 23,196,969.66
  5. Step 5: Solve for x
    x = 23,196,969.66/5,547.82
  6. Step 6: Final answer
    x = 4,181.28

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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.