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Finding the Fourth Proportional to 5,322.57, 7,970.95 and 4,538.08

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Solution

The fourth proportional to 5,322.57, 7,970.95 and 4,538.08 is: 6,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.57 : 7,970.95 = 4,538.08 : x
  2. Step 2: Convert to fraction form
    5,322.57/7,970.95 = 4,538.08/x
  3. Step 3: Cross multiply
    5,322.57x = 7,970.95 × 4,538.08
  4. Step 4: Simplify right side
    5,322.57x = 36,172,808.78
  5. Step 5: Solve for x
    x = 36,172,808.78/5,322.57
  6. Step 6: Final answer
    x = 6,796.12

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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.