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Finding the Fourth Proportional to 3,313.70, 4,970.52 and 848.52

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Solution

The fourth proportional to 3,313.70, 4,970.52 and 848.52 is: 1,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.70 : 4,970.52 = 848.52 : x
  2. Step 2: Convert to fraction form
    3,313.70/4,970.52 = 848.52/x
  3. Step 3: Cross multiply
    3,313.70x = 4,970.52 × 848.52
  4. Step 4: Simplify right side
    3,313.70x = 4,217,585.63
  5. Step 5: Solve for x
    x = 4,217,585.63/3,313.70
  6. Step 6: Final answer
    x = 1,272.77

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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.