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Finding the Fourth Proportional to 4,526.07, 6,776.13 and 2,782.95

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Solution

The fourth proportional to 4,526.07, 6,776.13 and 2,782.95 is: 4,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.07 : 6,776.13 = 2,782.95 : x
  2. Step 2: Convert to fraction form
    4,526.07/6,776.13 = 2,782.95/x
  3. Step 3: Cross multiply
    4,526.07x = 6,776.13 × 2,782.95
  4. Step 4: Simplify right side
    4,526.07x = 18,857,630.98
  5. Step 5: Solve for x
    x = 18,857,630.98/4,526.07
  6. Step 6: Final answer
    x = 4,166.45

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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.