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Finding the Fourth Proportional to 5,340.64, 8,009.52 and 2,416

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Solution

The fourth proportional to 5,340.64, 8,009.52 and 2,416 is: 3,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.64 : 8,009.52 = 2,416 : x
  2. Step 2: Convert to fraction form
    5,340.64/8,009.52 = 2,416/x
  3. Step 3: Cross multiply
    5,340.64x = 8,009.52 × 2,416
  4. Step 4: Simplify right side
    5,340.64x = 19,351,000.32
  5. Step 5: Solve for x
    x = 19,351,000.32/5,340.64
  6. Step 6: Final answer
    x = 3,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.