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Finding the Fourth Proportional to 5,506.70, 7,598.54 and 3,149

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Solution

The fourth proportional to 5,506.70, 7,598.54 and 3,149 is: 4,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.70 : 7,598.54 = 3,149 : x
  2. Step 2: Convert to fraction form
    5,506.70/7,598.54 = 3,149/x
  3. Step 3: Cross multiply
    5,506.70x = 7,598.54 × 3,149
  4. Step 4: Simplify right side
    5,506.70x = 23,927,802.46
  5. Step 5: Solve for x
    x = 23,927,802.46/5,506.70
  6. Step 6: Final answer
    x = 4,345.22

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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.