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Finding the Fourth Proportional to 5,354.52, 8,033.00 and 1,656.63

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Solution

The fourth proportional to 5,354.52, 8,033.00 and 1,656.63 is: 2,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.52 : 8,033.00 = 1,656.63 : x
  2. Step 2: Convert to fraction form
    5,354.52/8,033.00 = 1,656.63/x
  3. Step 3: Cross multiply
    5,354.52x = 8,033.00 × 1,656.63
  4. Step 4: Simplify right side
    5,354.52x = 13,307,700.51
  5. Step 5: Solve for x
    x = 13,307,700.51/5,354.52
  6. Step 6: Final answer
    x = 2,485.32

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1.5x scale

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.