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Finding the Fourth Proportional to 4,568.52, 6,854 and 2,101.32

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Solution

The fourth proportional to 4,568.52, 6,854 and 2,101.32 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.52 : 6,854 = 2,101.32 : x
  2. Step 2: Convert to fraction form
    4,568.52/6,854 = 2,101.32/x
  3. Step 3: Cross multiply
    4,568.52x = 6,854 × 2,101.32
  4. Step 4: Simplify right side
    4,568.52x = 14,402,447.28
  5. Step 5: Solve for x
    x = 14,402,447.28/4,568.52
  6. Step 6: Final answer
    x = 3,152.54

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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.