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Finding the Fourth Proportional to 4,868.42, 7,312.56 and 4,296.38

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Solution

The fourth proportional to 4,868.42, 7,312.56 and 4,296.38 is: 6,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.42 : 7,312.56 = 4,296.38 : x
  2. Step 2: Convert to fraction form
    4,868.42/7,312.56 = 4,296.38/x
  3. Step 3: Cross multiply
    4,868.42x = 7,312.56 × 4,296.38
  4. Step 4: Simplify right side
    4,868.42x = 31,417,536.53
  5. Step 5: Solve for x
    x = 31,417,536.53/4,868.42
  6. Step 6: Final answer
    x = 6,453.33

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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.