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Finding the Fourth Proportional to 4,807.39, 7,211.07 and 1,159.39

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Solution

The fourth proportional to 4,807.39, 7,211.07 and 1,159.39 is: 1,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.39 : 7,211.07 = 1,159.39 : x
  2. Step 2: Convert to fraction form
    4,807.39/7,211.07 = 1,159.39/x
  3. Step 3: Cross multiply
    4,807.39x = 7,211.07 × 1,159.39
  4. Step 4: Simplify right side
    4,807.39x = 8,360,442.45
  5. Step 5: Solve for x
    x = 8,360,442.45/4,807.39
  6. Step 6: Final answer
    x = 1,739.08

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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.