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Finding the Fourth Proportional to 5,460.16, 8,190.52 and 1,564.60

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Solution

The fourth proportional to 5,460.16, 8,190.52 and 1,564.60 is: 2,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.16 : 8,190.52 = 1,564.60 : x
  2. Step 2: Convert to fraction form
    5,460.16/8,190.52 = 1,564.60/x
  3. Step 3: Cross multiply
    5,460.16x = 8,190.52 × 1,564.60
  4. Step 4: Simplify right side
    5,460.16x = 12,814,887.59
  5. Step 5: Solve for x
    x = 12,814,887.59/5,460.16
  6. Step 6: Final answer
    x = 2,346.98

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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.