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Finding the Fourth Proportional to 4,810, 6,637.80 and 2,602

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Solution

The fourth proportional to 4,810, 6,637.80 and 2,602 is: 3,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810 : 6,637.80 = 2,602 : x
  2. Step 2: Convert to fraction form
    4,810/6,637.80 = 2,602/x
  3. Step 3: Cross multiply
    4,810x = 6,637.80 × 2,602
  4. Step 4: Simplify right side
    4,810x = 17,271,555.60
  5. Step 5: Solve for x
    x = 17,271,555.60/4,810
  6. Step 6: Final answer
    x = 3,590.76

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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.