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Finding the Fourth Proportional to 5,114.48, 7,681.97 and 4,946.35

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Solution

The fourth proportional to 5,114.48, 7,681.97 and 4,946.35 is: 7,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.48 : 7,681.97 = 4,946.35 : x
  2. Step 2: Convert to fraction form
    5,114.48/7,681.97 = 4,946.35/x
  3. Step 3: Cross multiply
    5,114.48x = 7,681.97 × 4,946.35
  4. Step 4: Simplify right side
    5,114.48x = 37,997,712.31
  5. Step 5: Solve for x
    x = 37,997,712.31/5,114.48
  6. Step 6: Final answer
    x = 7,429.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.