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Finding the Fourth Proportional to 4,706.90, 7,061 and 1,587.80

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Solution

The fourth proportional to 4,706.90, 7,061 and 1,587.80 is: 2,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.90 : 7,061 = 1,587.80 : x
  2. Step 2: Convert to fraction form
    4,706.90/7,061 = 1,587.80/x
  3. Step 3: Cross multiply
    4,706.90x = 7,061 × 1,587.80
  4. Step 4: Simplify right side
    4,706.90x = 11,211,455.80
  5. Step 5: Solve for x
    x = 11,211,455.80/4,706.90
  6. Step 6: Final answer
    x = 2,381.92

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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.