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Finding the Fourth Proportional to 5,668.06, 7,810.98 and 3,777.52

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Solution

The fourth proportional to 5,668.06, 7,810.98 and 3,777.52 is: 5,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.06 : 7,810.98 = 3,777.52 : x
  2. Step 2: Convert to fraction form
    5,668.06/7,810.98 = 3,777.52/x
  3. Step 3: Cross multiply
    5,668.06x = 7,810.98 × 3,777.52
  4. Step 4: Simplify right side
    5,668.06x = 29,506,133.17
  5. Step 5: Solve for x
    x = 29,506,133.17/5,668.06
  6. Step 6: Final answer
    x = 5,205.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.