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Finding the Fourth Proportional to 5,210.84, 7,813.50 and 3,729.32

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Solution

The fourth proportional to 5,210.84, 7,813.50 and 3,729.32 is: 5,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.84 : 7,813.50 = 3,729.32 : x
  2. Step 2: Convert to fraction form
    5,210.84/7,813.50 = 3,729.32/x
  3. Step 3: Cross multiply
    5,210.84x = 7,813.50 × 3,729.32
  4. Step 4: Simplify right side
    5,210.84x = 29,139,041.82
  5. Step 5: Solve for x
    x = 29,139,041.82/5,210.84
  6. Step 6: Final answer
    x = 5,592.00

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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.