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Finding the Fourth Proportional to 5,696.16, 7,860.76 and 3,178.50

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Solution

The fourth proportional to 5,696.16, 7,860.76 and 3,178.50 is: 4,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.16 : 7,860.76 = 3,178.50 : x
  2. Step 2: Convert to fraction form
    5,696.16/7,860.76 = 3,178.50/x
  3. Step 3: Cross multiply
    5,696.16x = 7,860.76 × 3,178.50
  4. Step 4: Simplify right side
    5,696.16x = 24,985,425.66
  5. Step 5: Solve for x
    x = 24,985,425.66/5,696.16
  6. Step 6: Final answer
    x = 4,386.36

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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.