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Finding the Fourth Proportional to 4,592.82, 6,878.28 and 2,509.70

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Solution

The fourth proportional to 4,592.82, 6,878.28 and 2,509.70 is: 3,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.82 : 6,878.28 = 2,509.70 : x
  2. Step 2: Convert to fraction form
    4,592.82/6,878.28 = 2,509.70/x
  3. Step 3: Cross multiply
    4,592.82x = 6,878.28 × 2,509.70
  4. Step 4: Simplify right side
    4,592.82x = 17,262,419.32
  5. Step 5: Solve for x
    x = 17,262,419.32/4,592.82
  6. Step 6: Final answer
    x = 3,758.57

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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.