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Finding the Fourth Proportional to 5,506.63, 7,599.22 and 3,148.77

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Solution

The fourth proportional to 5,506.63, 7,599.22 and 3,148.77 is: 4,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.63 : 7,599.22 = 3,148.77 : x
  2. Step 2: Convert to fraction form
    5,506.63/7,599.22 = 3,148.77/x
  3. Step 3: Cross multiply
    5,506.63x = 7,599.22 × 3,148.77
  4. Step 4: Simplify right side
    5,506.63x = 23,928,216.58
  5. Step 5: Solve for x
    x = 23,928,216.58/5,506.63
  6. Step 6: Final answer
    x = 4,345.34

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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.