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Finding the Fourth Proportional to 2,547.88, 3,521.96 and 2,125.77

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Solution

The fourth proportional to 2,547.88, 3,521.96 and 2,125.77 is: 2,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.88 : 3,521.96 = 2,125.77 : x
  2. Step 2: Convert to fraction form
    2,547.88/3,521.96 = 2,125.77/x
  3. Step 3: Cross multiply
    2,547.88x = 3,521.96 × 2,125.77
  4. Step 4: Simplify right side
    2,547.88x = 7,486,866.28
  5. Step 5: Solve for x
    x = 7,486,866.28/2,547.88
  6. Step 6: Final answer
    x = 2,938.47

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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.