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Finding the Fourth Proportional to 4,784, 6,599.68 and 3,387.52

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Solution

The fourth proportional to 4,784, 6,599.68 and 3,387.52 is: 4,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784 : 6,599.68 = 3,387.52 : x
  2. Step 2: Convert to fraction form
    4,784/6,599.68 = 3,387.52/x
  3. Step 3: Cross multiply
    4,784x = 6,599.68 × 3,387.52
  4. Step 4: Simplify right side
    4,784x = 22,356,547.99
  5. Step 5: Solve for x
    x = 22,356,547.99/4,784
  6. Step 6: Final answer
    x = 4,673.19

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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.