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Finding the Fourth Proportional to 3,547.88, 5,323.98 and 1,600.28

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Solution

The fourth proportional to 3,547.88, 5,323.98 and 1,600.28 is: 2,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.88 : 5,323.98 = 1,600.28 : x
  2. Step 2: Convert to fraction form
    3,547.88/5,323.98 = 1,600.28/x
  3. Step 3: Cross multiply
    3,547.88x = 5,323.98 × 1,600.28
  4. Step 4: Simplify right side
    3,547.88x = 8,519,858.71
  5. Step 5: Solve for x
    x = 8,519,858.71/3,547.88
  6. Step 6: Final answer
    x = 2,401.39

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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.