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Finding the Fourth Proportional to 3,502.98, 4,827.47 and 2,506.55

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Solution

The fourth proportional to 3,502.98, 4,827.47 and 2,506.55 is: 3,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.98 : 4,827.47 = 2,506.55 : x
  2. Step 2: Convert to fraction form
    3,502.98/4,827.47 = 2,506.55/x
  3. Step 3: Cross multiply
    3,502.98x = 4,827.47 × 2,506.55
  4. Step 4: Simplify right side
    3,502.98x = 12,100,258.26
  5. Step 5: Solve for x
    x = 12,100,258.26/3,502.98
  6. Step 6: Final answer
    x = 3,454.28

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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.