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Finding the Fourth Proportional to 5,510.40, 8,265.60 and 4,646.40

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Solution

The fourth proportional to 5,510.40, 8,265.60 and 4,646.40 is: 6,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.40 : 8,265.60 = 4,646.40 : x
  2. Step 2: Convert to fraction form
    5,510.40/8,265.60 = 4,646.40/x
  3. Step 3: Cross multiply
    5,510.40x = 8,265.60 × 4,646.40
  4. Step 4: Simplify right side
    5,510.40x = 38,405,283.84
  5. Step 5: Solve for x
    x = 38,405,283.84/5,510.40
  6. Step 6: Final answer
    x = 6,969.60

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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.