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Finding the Fourth Proportional to 4,564.48, 6,846 and 2,916.16

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Solution

The fourth proportional to 4,564.48, 6,846 and 2,916.16 is: 4,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.48 : 6,846 = 2,916.16 : x
  2. Step 2: Convert to fraction form
    4,564.48/6,846 = 2,916.16/x
  3. Step 3: Cross multiply
    4,564.48x = 6,846 × 2,916.16
  4. Step 4: Simplify right side
    4,564.48x = 19,964,031.36
  5. Step 5: Solve for x
    x = 19,964,031.36/4,564.48
  6. Step 6: Final answer
    x = 4,373.78

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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.