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Finding the Fourth Proportional to 4,697.66, 7,041.84 and 2,618.63

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Solution

The fourth proportional to 4,697.66, 7,041.84 and 2,618.63 is: 3,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.66 : 7,041.84 = 2,618.63 : x
  2. Step 2: Convert to fraction form
    4,697.66/7,041.84 = 2,618.63/x
  3. Step 3: Cross multiply
    4,697.66x = 7,041.84 × 2,618.63
  4. Step 4: Simplify right side
    4,697.66x = 18,439,938.27
  5. Step 5: Solve for x
    x = 18,439,938.27/4,697.66
  6. Step 6: Final answer
    x = 3,925.35

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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.