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Finding the Fourth Proportional to 5,116.48, 7,684.98 and 4,948.36

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Solution

The fourth proportional to 5,116.48, 7,684.98 and 4,948.36 is: 7,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.48 : 7,684.98 = 4,948.36 : x
  2. Step 2: Convert to fraction form
    5,116.48/7,684.98 = 4,948.36/x
  3. Step 3: Cross multiply
    5,116.48x = 7,684.98 × 4,948.36
  4. Step 4: Simplify right side
    5,116.48x = 38,028,047.63
  5. Step 5: Solve for x
    x = 38,028,047.63/5,116.48
  6. Step 6: Final answer
    x = 7,432.46

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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.