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Finding the Fourth Proportional to 5,106.40, 7,654.20 and 1,985.20

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Solution

The fourth proportional to 5,106.40, 7,654.20 and 1,985.20 is: 2,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.40 : 7,654.20 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    5,106.40/7,654.20 = 1,985.20/x
  3. Step 3: Cross multiply
    5,106.40x = 7,654.20 × 1,985.20
  4. Step 4: Simplify right side
    5,106.40x = 15,195,117.84
  5. Step 5: Solve for x
    x = 15,195,117.84/5,106.40
  6. Step 6: Final answer
    x = 2,975.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.