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Finding the Fourth Proportional to 5,206.52, 7,185 and 2,848.64

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Solution

The fourth proportional to 5,206.52, 7,185 and 2,848.64 is: 3,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.52 : 7,185 = 2,848.64 : x
  2. Step 2: Convert to fraction form
    5,206.52/7,185 = 2,848.64/x
  3. Step 3: Cross multiply
    5,206.52x = 7,185 × 2,848.64
  4. Step 4: Simplify right side
    5,206.52x = 20,467,478.40
  5. Step 5: Solve for x
    x = 20,467,478.40/5,206.52
  6. Step 6: Final answer
    x = 3,931.12

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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.