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Finding the Fourth Proportional to 3,117.47, 4,678.02 and 2,239.02

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Solution

The fourth proportional to 3,117.47, 4,678.02 and 2,239.02 is: 3,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.47 : 4,678.02 = 2,239.02 : x
  2. Step 2: Convert to fraction form
    3,117.47/4,678.02 = 2,239.02/x
  3. Step 3: Cross multiply
    3,117.47x = 4,678.02 × 2,239.02
  4. Step 4: Simplify right side
    3,117.47x = 10,474,180.34
  5. Step 5: Solve for x
    x = 10,474,180.34/3,117.47
  6. Step 6: Final answer
    x = 3,359.84

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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.