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Finding the Fourth Proportional to 5,631.19, 8,465.02 and 5,225.38

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Solution

The fourth proportional to 5,631.19, 8,465.02 and 5,225.38 is: 7,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.19 : 8,465.02 = 5,225.38 : x
  2. Step 2: Convert to fraction form
    5,631.19/8,465.02 = 5,225.38/x
  3. Step 3: Cross multiply
    5,631.19x = 8,465.02 × 5,225.38
  4. Step 4: Simplify right side
    5,631.19x = 44,232,911.98
  5. Step 5: Solve for x
    x = 44,232,911.98/5,631.19
  6. Step 6: Final answer
    x = 7,854.99

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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.