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Finding the Fourth Proportional to 4,588.76, 6,883.52 and 1,302.12

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Solution

The fourth proportional to 4,588.76, 6,883.52 and 1,302.12 is: 1,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.76 : 6,883.52 = 1,302.12 : x
  2. Step 2: Convert to fraction form
    4,588.76/6,883.52 = 1,302.12/x
  3. Step 3: Cross multiply
    4,588.76x = 6,883.52 × 1,302.12
  4. Step 4: Simplify right side
    4,588.76x = 8,963,169.06
  5. Step 5: Solve for x
    x = 8,963,169.06/4,588.76
  6. Step 6: Final answer
    x = 1,953.29

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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.