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Finding the Fourth Proportional to 4,853.40, 7,275.65 and 1,564.80

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Solution

The fourth proportional to 4,853.40, 7,275.65 and 1,564.80 is: 2,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.40 : 7,275.65 = 1,564.80 : x
  2. Step 2: Convert to fraction form
    4,853.40/7,275.65 = 1,564.80/x
  3. Step 3: Cross multiply
    4,853.40x = 7,275.65 × 1,564.80
  4. Step 4: Simplify right side
    4,853.40x = 11,384,929.30
  5. Step 5: Solve for x
    x = 11,384,929.30/4,853.40
  6. Step 6: Final answer
    x = 2,345.76

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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.