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Finding the Fourth Proportional to 5,765.81, 7,957.55 and 3,248.40

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Solution

The fourth proportional to 5,765.81, 7,957.55 and 3,248.40 is: 4,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.81 : 7,957.55 = 3,248.40 : x
  2. Step 2: Convert to fraction form
    5,765.81/7,957.55 = 3,248.40/x
  3. Step 3: Cross multiply
    5,765.81x = 7,957.55 × 3,248.40
  4. Step 4: Simplify right side
    5,765.81x = 25,849,289.18
  5. Step 5: Solve for x
    x = 25,849,289.18/5,765.81
  6. Step 6: Final answer
    x = 4,483.21

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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.