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Finding the Fourth Proportional to 3,557.74, 4,908.52 and 1,985.53

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Solution

The fourth proportional to 3,557.74, 4,908.52 and 1,985.53 is: 2,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.74 : 4,908.52 = 1,985.53 : x
  2. Step 2: Convert to fraction form
    3,557.74/4,908.52 = 1,985.53/x
  3. Step 3: Cross multiply
    3,557.74x = 4,908.52 × 1,985.53
  4. Step 4: Simplify right side
    3,557.74x = 9,746,013.72
  5. Step 5: Solve for x
    x = 9,746,013.72/3,557.74
  6. Step 6: Final answer
    x = 2,739.38

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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.