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Finding the Fourth Proportional to 3,506.39, 5,252.29 and 1,658.98

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Solution

The fourth proportional to 3,506.39, 5,252.29 and 1,658.98 is: 2,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.39 : 5,252.29 = 1,658.98 : x
  2. Step 2: Convert to fraction form
    3,506.39/5,252.29 = 1,658.98/x
  3. Step 3: Cross multiply
    3,506.39x = 5,252.29 × 1,658.98
  4. Step 4: Simplify right side
    3,506.39x = 8,713,455.81
  5. Step 5: Solve for x
    x = 8,713,455.81/3,506.39
  6. Step 6: Final answer
    x = 2,485.02

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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.