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Finding the Fourth Proportional to 4,395.76, 6,064.08 and 2,602

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Solution

The fourth proportional to 4,395.76, 6,064.08 and 2,602 is: 3,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.76 : 6,064.08 = 2,602 : x
  2. Step 2: Convert to fraction form
    4,395.76/6,064.08 = 2,602/x
  3. Step 3: Cross multiply
    4,395.76x = 6,064.08 × 2,602
  4. Step 4: Simplify right side
    4,395.76x = 15,778,736.16
  5. Step 5: Solve for x
    x = 15,778,736.16/4,395.76
  6. Step 6: Final answer
    x = 3,589.54

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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.