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Finding the Fourth Proportional to 5,696.64, 8,533.23 and 5,040.22

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Solution

The fourth proportional to 5,696.64, 8,533.23 and 5,040.22 is: 7,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.64 : 8,533.23 = 5,040.22 : x
  2. Step 2: Convert to fraction form
    5,696.64/8,533.23 = 5,040.22/x
  3. Step 3: Cross multiply
    5,696.64x = 8,533.23 × 5,040.22
  4. Step 4: Simplify right side
    5,696.64x = 43,009,356.51
  5. Step 5: Solve for x
    x = 43,009,356.51/5,696.64
  6. Step 6: Final answer
    x = 7,549.95

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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.