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Finding the Fourth Proportional to 4,557.65, 6,834.65 and 1,926.36

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Solution

The fourth proportional to 4,557.65, 6,834.65 and 1,926.36 is: 2,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.65 : 6,834.65 = 1,926.36 : x
  2. Step 2: Convert to fraction form
    4,557.65/6,834.65 = 1,926.36/x
  3. Step 3: Cross multiply
    4,557.65x = 6,834.65 × 1,926.36
  4. Step 4: Simplify right side
    4,557.65x = 13,165,986.74
  5. Step 5: Solve for x
    x = 13,165,986.74/4,557.65
  6. Step 6: Final answer
    x = 2,888.77

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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.