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Finding the Fourth Proportional to 5,574.83, 7,693.16 and 3,056.82

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Solution

The fourth proportional to 5,574.83, 7,693.16 and 3,056.82 is: 4,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.83 : 7,693.16 = 3,056.82 : x
  2. Step 2: Convert to fraction form
    5,574.83/7,693.16 = 3,056.82/x
  3. Step 3: Cross multiply
    5,574.83x = 7,693.16 × 3,056.82
  4. Step 4: Simplify right side
    5,574.83x = 23,516,590.07
  5. Step 5: Solve for x
    x = 23,516,590.07/5,574.83
  6. Step 6: Final answer
    x = 4,218.35

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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.