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Finding the Fourth Proportional to 3,567.70, 4,924.65 and 2,152.18

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Solution

The fourth proportional to 3,567.70, 4,924.65 and 2,152.18 is: 2,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.70 : 4,924.65 = 2,152.18 : x
  2. Step 2: Convert to fraction form
    3,567.70/4,924.65 = 2,152.18/x
  3. Step 3: Cross multiply
    3,567.70x = 4,924.65 × 2,152.18
  4. Step 4: Simplify right side
    3,567.70x = 10,598,733.24
  5. Step 5: Solve for x
    x = 10,598,733.24/3,567.70
  6. Step 6: Final answer
    x = 2,970.75

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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.