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Finding the Fourth Proportional to 4,706.63, 7,060.60 and 1,587.53

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Solution

The fourth proportional to 4,706.63, 7,060.60 and 1,587.53 is: 2,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.63 : 7,060.60 = 1,587.53 : x
  2. Step 2: Convert to fraction form
    4,706.63/7,060.60 = 1,587.53/x
  3. Step 3: Cross multiply
    4,706.63x = 7,060.60 × 1,587.53
  4. Step 4: Simplify right side
    4,706.63x = 11,208,914.32
  5. Step 5: Solve for x
    x = 11,208,914.32/4,706.63
  6. Step 6: Final answer
    x = 2,381.52

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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.