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Finding the Fourth Proportional to 5,506.74, 7,599.17 and 3,148.74

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Solution

The fourth proportional to 5,506.74, 7,599.17 and 3,148.74 is: 4,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.74 : 7,599.17 = 3,148.74 : x
  2. Step 2: Convert to fraction form
    5,506.74/7,599.17 = 3,148.74/x
  3. Step 3: Cross multiply
    5,506.74x = 7,599.17 × 3,148.74
  4. Step 4: Simplify right side
    5,506.74x = 23,927,818.42
  5. Step 5: Solve for x
    x = 23,927,818.42/5,506.74
  6. Step 6: Final answer
    x = 4,345.19

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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.