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Finding the Fourth Proportional to 5,152.71, 7,106.99 and 3,264.60

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Solution

The fourth proportional to 5,152.71, 7,106.99 and 3,264.60 is: 4,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.71 : 7,106.99 = 3,264.60 : x
  2. Step 2: Convert to fraction form
    5,152.71/7,106.99 = 3,264.60/x
  3. Step 3: Cross multiply
    5,152.71x = 7,106.99 × 3,264.60
  4. Step 4: Simplify right side
    5,152.71x = 23,201,508.25
  5. Step 5: Solve for x
    x = 23,201,508.25/5,152.71
  6. Step 6: Final answer
    x = 4,502.77

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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.