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Finding the Fourth Proportional to 5,303.82, 7,319.37 and 2,946.18

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Solution

The fourth proportional to 5,303.82, 7,319.37 and 2,946.18 is: 4,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.82 : 7,319.37 = 2,946.18 : x
  2. Step 2: Convert to fraction form
    5,303.82/7,319.37 = 2,946.18/x
  3. Step 3: Cross multiply
    5,303.82x = 7,319.37 × 2,946.18
  4. Step 4: Simplify right side
    5,303.82x = 21,564,181.51
  5. Step 5: Solve for x
    x = 21,564,181.51/5,303.82
  6. Step 6: Final answer
    x = 4,065.78

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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.