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Finding the Fourth Proportional to 4,657.14, 6,985.71 and 4,372.02

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Solution

The fourth proportional to 4,657.14, 6,985.71 and 4,372.02 is: 6,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.14 : 6,985.71 = 4,372.02 : x
  2. Step 2: Convert to fraction form
    4,657.14/6,985.71 = 4,372.02/x
  3. Step 3: Cross multiply
    4,657.14x = 6,985.71 × 4,372.02
  4. Step 4: Simplify right side
    4,657.14x = 30,541,663.83
  5. Step 5: Solve for x
    x = 30,541,663.83/4,657.14
  6. Step 6: Final answer
    x = 6,558.03

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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.