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Finding the Fourth Proportional to 4,711, 6,501.18 and 2,615.14

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Solution

The fourth proportional to 4,711, 6,501.18 and 2,615.14 is: 3,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711 : 6,501.18 = 2,615.14 : x
  2. Step 2: Convert to fraction form
    4,711/6,501.18 = 2,615.14/x
  3. Step 3: Cross multiply
    4,711x = 6,501.18 × 2,615.14
  4. Step 4: Simplify right side
    4,711x = 17,001,495.87
  5. Step 5: Solve for x
    x = 17,001,495.87/4,711
  6. Step 6: Final answer
    x = 3,608.89

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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.