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Finding the Fourth Proportional to 4,866.21, 7,298.64 and 1,356.48

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Solution

The fourth proportional to 4,866.21, 7,298.64 and 1,356.48 is: 2,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.21 : 7,298.64 = 1,356.48 : x
  2. Step 2: Convert to fraction form
    4,866.21/7,298.64 = 1,356.48/x
  3. Step 3: Cross multiply
    4,866.21x = 7,298.64 × 1,356.48
  4. Step 4: Simplify right side
    4,866.21x = 9,900,459.19
  5. Step 5: Solve for x
    x = 9,900,459.19/4,866.21
  6. Step 6: Final answer
    x = 2,034.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.