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Finding the Fourth Proportional to 4,607.84, 6,913.80 and 2,416.05

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Solution

The fourth proportional to 4,607.84, 6,913.80 and 2,416.05 is: 3,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.84 : 6,913.80 = 2,416.05 : x
  2. Step 2: Convert to fraction form
    4,607.84/6,913.80 = 2,416.05/x
  3. Step 3: Cross multiply
    4,607.84x = 6,913.80 × 2,416.05
  4. Step 4: Simplify right side
    4,607.84x = 16,704,086.49
  5. Step 5: Solve for x
    x = 16,704,086.49/4,607.84
  6. Step 6: Final answer
    x = 3,625.14

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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.