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Finding the Fourth Proportional to 5,398.40, 8,095.16 and 5,228.30

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Solution

The fourth proportional to 5,398.40, 8,095.16 and 5,228.30 is: 7,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.40 : 8,095.16 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    5,398.40/8,095.16 = 5,228.30/x
  3. Step 3: Cross multiply
    5,398.40x = 8,095.16 × 5,228.30
  4. Step 4: Simplify right side
    5,398.40x = 42,323,858.41
  5. Step 5: Solve for x
    x = 42,323,858.41/5,398.40
  6. Step 6: Final answer
    x = 7,840.08

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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.