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Finding the Fourth Proportional to 4,788.38, 7,182.66 and 1,501.40

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Solution

The fourth proportional to 4,788.38, 7,182.66 and 1,501.40 is: 2,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.38 : 7,182.66 = 1,501.40 : x
  2. Step 2: Convert to fraction form
    4,788.38/7,182.66 = 1,501.40/x
  3. Step 3: Cross multiply
    4,788.38x = 7,182.66 × 1,501.40
  4. Step 4: Simplify right side
    4,788.38x = 10,784,045.72
  5. Step 5: Solve for x
    x = 10,784,045.72/4,788.38
  6. Step 6: Final answer
    x = 2,252.13

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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.