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Finding the Fourth Proportional to 5,534.02, 8,300.07 and 1,430.02

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Solution

The fourth proportional to 5,534.02, 8,300.07 and 1,430.02 is: 2,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.02 : 8,300.07 = 1,430.02 : x
  2. Step 2: Convert to fraction form
    5,534.02/8,300.07 = 1,430.02/x
  3. Step 3: Cross multiply
    5,534.02x = 8,300.07 × 1,430.02
  4. Step 4: Simplify right side
    5,534.02x = 11,869,266.10
  5. Step 5: Solve for x
    x = 11,869,266.10/5,534.02
  6. Step 6: Final answer
    x = 2,144.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.