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Finding the Fourth Proportional to 5,346.40, 8,020.74 and 1,598.47

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Solution

The fourth proportional to 5,346.40, 8,020.74 and 1,598.47 is: 2,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.40 : 8,020.74 = 1,598.47 : x
  2. Step 2: Convert to fraction form
    5,346.40/8,020.74 = 1,598.47/x
  3. Step 3: Cross multiply
    5,346.40x = 8,020.74 × 1,598.47
  4. Step 4: Simplify right side
    5,346.40x = 12,820,933.17
  5. Step 5: Solve for x
    x = 12,820,933.17/5,346.40
  6. Step 6: Final answer
    x = 2,398.05

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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.