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Finding the Fourth Proportional to 5,916.64, 8,165.32 and 3,264.64

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Solution

The fourth proportional to 5,916.64, 8,165.32 and 3,264.64 is: 4,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.64 : 8,165.32 = 3,264.64 : x
  2. Step 2: Convert to fraction form
    5,916.64/8,165.32 = 3,264.64/x
  3. Step 3: Cross multiply
    5,916.64x = 8,165.32 × 3,264.64
  4. Step 4: Simplify right side
    5,916.64x = 26,656,830.28
  5. Step 5: Solve for x
    x = 26,656,830.28/5,916.64
  6. Step 6: Final answer
    x = 4,505.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.