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Finding the Fourth Proportional to 3,557.76, 4,909.71 and 1,985.95

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Solution

The fourth proportional to 3,557.76, 4,909.71 and 1,985.95 is: 2,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.76 : 4,909.71 = 1,985.95 : x
  2. Step 2: Convert to fraction form
    3,557.76/4,909.71 = 1,985.95/x
  3. Step 3: Cross multiply
    3,557.76x = 4,909.71 × 1,985.95
  4. Step 4: Simplify right side
    3,557.76x = 9,750,438.57
  5. Step 5: Solve for x
    x = 9,750,438.57/3,557.76
  6. Step 6: Final answer
    x = 2,740.61

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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.