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Finding the Fourth Proportional to 5,357.68, 8,025 and 5,298.64

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Solution

The fourth proportional to 5,357.68, 8,025 and 5,298.64 is: 7,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.68 : 8,025 = 5,298.64 : x
  2. Step 2: Convert to fraction form
    5,357.68/8,025 = 5,298.64/x
  3. Step 3: Cross multiply
    5,357.68x = 8,025 × 5,298.64
  4. Step 4: Simplify right side
    5,357.68x = 42,521,586
  5. Step 5: Solve for x
    x = 42,521,586/5,357.68
  6. Step 6: Final answer
    x = 7,936.57

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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.