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Finding the Fourth Proportional to 5,605.24, 8,401.74 and 2,830.36

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Solution

The fourth proportional to 5,605.24, 8,401.74 and 2,830.36 is: 4,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.24 : 8,401.74 = 2,830.36 : x
  2. Step 2: Convert to fraction form
    5,605.24/8,401.74 = 2,830.36/x
  3. Step 3: Cross multiply
    5,605.24x = 8,401.74 × 2,830.36
  4. Step 4: Simplify right side
    5,605.24x = 23,779,948.83
  5. Step 5: Solve for x
    x = 23,779,948.83/5,605.24
  6. Step 6: Final answer
    x = 4,242.45

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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.