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Finding the Fourth Proportional to 5,185.94, 7,781.87 and 1,898.60

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Solution

The fourth proportional to 5,185.94, 7,781.87 and 1,898.60 is: 2,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.94 : 7,781.87 = 1,898.60 : x
  2. Step 2: Convert to fraction form
    5,185.94/7,781.87 = 1,898.60/x
  3. Step 3: Cross multiply
    5,185.94x = 7,781.87 × 1,898.60
  4. Step 4: Simplify right side
    5,185.94x = 14,774,658.38
  5. Step 5: Solve for x
    x = 14,774,658.38/5,185.94
  6. Step 6: Final answer
    x = 2,848.98

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1.5x scale

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.