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Finding the Fourth Proportional to 3,866.32, 5,333.16 and 2,466.64

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Solution

The fourth proportional to 3,866.32, 5,333.16 and 2,466.64 is: 3,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.32 : 5,333.16 = 2,466.64 : x
  2. Step 2: Convert to fraction form
    3,866.32/5,333.16 = 2,466.64/x
  3. Step 3: Cross multiply
    3,866.32x = 5,333.16 × 2,466.64
  4. Step 4: Simplify right side
    3,866.32x = 13,154,985.78
  5. Step 5: Solve for x
    x = 13,154,985.78/3,866.32
  6. Step 6: Final answer
    x = 3,402.46

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1.5x scale

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.