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Finding the Fourth Proportional to 5,509.13, 7,602.50 and 3,271.10

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Solution

The fourth proportional to 5,509.13, 7,602.50 and 3,271.10 is: 4,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.13 : 7,602.50 = 3,271.10 : x
  2. Step 2: Convert to fraction form
    5,509.13/7,602.50 = 3,271.10/x
  3. Step 3: Cross multiply
    5,509.13x = 7,602.50 × 3,271.10
  4. Step 4: Simplify right side
    5,509.13x = 24,868,537.75
  5. Step 5: Solve for x
    x = 24,868,537.75/5,509.13
  6. Step 6: Final answer
    x = 4,514.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.