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Finding the Fourth Proportional to 4,562.80, 6,838.53 and 2,095

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Solution

The fourth proportional to 4,562.80, 6,838.53 and 2,095 is: 3,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.80 : 6,838.53 = 2,095 : x
  2. Step 2: Convert to fraction form
    4,562.80/6,838.53 = 2,095/x
  3. Step 3: Cross multiply
    4,562.80x = 6,838.53 × 2,095
  4. Step 4: Simplify right side
    4,562.80x = 14,326,720.35
  5. Step 5: Solve for x
    x = 14,326,720.35/4,562.80
  6. Step 6: Final answer
    x = 3,139.90

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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.