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Finding the Fourth Proportional to 3,948.98, 5,922.54 and 1,756.50

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Solution

The fourth proportional to 3,948.98, 5,922.54 and 1,756.50 is: 2,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.98 : 5,922.54 = 1,756.50 : x
  2. Step 2: Convert to fraction form
    3,948.98/5,922.54 = 1,756.50/x
  3. Step 3: Cross multiply
    3,948.98x = 5,922.54 × 1,756.50
  4. Step 4: Simplify right side
    3,948.98x = 10,402,941.51
  5. Step 5: Solve for x
    x = 10,402,941.51/3,948.98
  6. Step 6: Final answer
    x = 2,634.34

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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.