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Finding the Fourth Proportional to 5,623.04, 8,434.56 and 5,346.56

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Solution

The fourth proportional to 5,623.04, 8,434.56 and 5,346.56 is: 8,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.04 : 8,434.56 = 5,346.56 : x
  2. Step 2: Convert to fraction form
    5,623.04/8,434.56 = 5,346.56/x
  3. Step 3: Cross multiply
    5,623.04x = 8,434.56 × 5,346.56
  4. Step 4: Simplify right side
    5,623.04x = 45,095,881.11
  5. Step 5: Solve for x
    x = 45,095,881.11/5,623.04
  6. Step 6: Final answer
    x = 8,019.84

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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.