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Finding the Fourth Proportional to 4,688.52, 6,468.52 and 3,009.80

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Solution

The fourth proportional to 4,688.52, 6,468.52 and 3,009.80 is: 4,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.52 : 6,468.52 = 3,009.80 : x
  2. Step 2: Convert to fraction form
    4,688.52/6,468.52 = 3,009.80/x
  3. Step 3: Cross multiply
    4,688.52x = 6,468.52 × 3,009.80
  4. Step 4: Simplify right side
    4,688.52x = 19,468,951.50
  5. Step 5: Solve for x
    x = 19,468,951.50/4,688.52
  6. Step 6: Final answer
    x = 4,152.47

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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.