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Finding the Fourth Proportional to 5,322.65, 7,346.54 and 3,085.76

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Solution

The fourth proportional to 5,322.65, 7,346.54 and 3,085.76 is: 4,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.65 : 7,346.54 = 3,085.76 : x
  2. Step 2: Convert to fraction form
    5,322.65/7,346.54 = 3,085.76/x
  3. Step 3: Cross multiply
    5,322.65x = 7,346.54 × 3,085.76
  4. Step 4: Simplify right side
    5,322.65x = 22,669,607.11
  5. Step 5: Solve for x
    x = 22,669,607.11/5,322.65
  6. Step 6: Final answer
    x = 4,259.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.