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Finding the Fourth Proportional to 4,807.78, 7,237.19 and 3,430.66

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Solution

The fourth proportional to 4,807.78, 7,237.19 and 3,430.66 is: 5,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.78 : 7,237.19 = 3,430.66 : x
  2. Step 2: Convert to fraction form
    4,807.78/7,237.19 = 3,430.66/x
  3. Step 3: Cross multiply
    4,807.78x = 7,237.19 × 3,430.66
  4. Step 4: Simplify right side
    4,807.78x = 24,828,338.25
  5. Step 5: Solve for x
    x = 24,828,338.25/4,807.78
  6. Step 6: Final answer
    x = 5,164.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.