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Finding the Fourth Proportional to 4,703.60, 6,484.02 and 3,706.89

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Solution

The fourth proportional to 4,703.60, 6,484.02 and 3,706.89 is: 5,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.60 : 6,484.02 = 3,706.89 : x
  2. Step 2: Convert to fraction form
    4,703.60/6,484.02 = 3,706.89/x
  3. Step 3: Cross multiply
    4,703.60x = 6,484.02 × 3,706.89
  4. Step 4: Simplify right side
    4,703.60x = 24,035,548.90
  5. Step 5: Solve for x
    x = 24,035,548.90/4,703.60
  6. Step 6: Final answer
    x = 5,110.04

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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.