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Finding the Fourth Proportional to 5,547.80, 7,656.02 and 3,029.98

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Solution

The fourth proportional to 5,547.80, 7,656.02 and 3,029.98 is: 4,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.80 : 7,656.02 = 3,029.98 : x
  2. Step 2: Convert to fraction form
    5,547.80/7,656.02 = 3,029.98/x
  3. Step 3: Cross multiply
    5,547.80x = 7,656.02 × 3,029.98
  4. Step 4: Simplify right side
    5,547.80x = 23,197,553.19
  5. Step 5: Solve for x
    x = 23,197,553.19/5,547.80
  6. Step 6: Final answer
    x = 4,181.40

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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.