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Finding the Fourth Proportional to 3,798.99, 5,242.95 and 2,307.29

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Solution

The fourth proportional to 3,798.99, 5,242.95 and 2,307.29 is: 3,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.99 : 5,242.95 = 2,307.29 : x
  2. Step 2: Convert to fraction form
    3,798.99/5,242.95 = 2,307.29/x
  3. Step 3: Cross multiply
    3,798.99x = 5,242.95 × 2,307.29
  4. Step 4: Simplify right side
    3,798.99x = 12,096,979.89
  5. Step 5: Solve for x
    x = 12,096,979.89/3,798.99
  6. Step 6: Final answer
    x = 3,184.26

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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.