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Finding the Fourth Proportional to 4,564.70, 6,844.35 and 2,377.70

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Solution

The fourth proportional to 4,564.70, 6,844.35 and 2,377.70 is: 3,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.70 : 6,844.35 = 2,377.70 : x
  2. Step 2: Convert to fraction form
    4,564.70/6,844.35 = 2,377.70/x
  3. Step 3: Cross multiply
    4,564.70x = 6,844.35 × 2,377.70
  4. Step 4: Simplify right side
    4,564.70x = 16,273,811.00
  5. Step 5: Solve for x
    x = 16,273,811.00/4,564.70
  6. Step 6: Final answer
    x = 3,565.14

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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.