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Finding the Fourth Proportional to 4,358.12, 6,535.13 and 1,582.83

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Solution

The fourth proportional to 4,358.12, 6,535.13 and 1,582.83 is: 2,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.12 : 6,535.13 = 1,582.83 : x
  2. Step 2: Convert to fraction form
    4,358.12/6,535.13 = 1,582.83/x
  3. Step 3: Cross multiply
    4,358.12x = 6,535.13 × 1,582.83
  4. Step 4: Simplify right side
    4,358.12x = 10,343,991.90
  5. Step 5: Solve for x
    x = 10,343,991.90/4,358.12
  6. Step 6: Final answer
    x = 2,373.50

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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.