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Finding the Fourth Proportional to 3,495.52, 5,243.34 and 898.39

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Solution

The fourth proportional to 3,495.52, 5,243.34 and 898.39 is: 1,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.52 : 5,243.34 = 898.39 : x
  2. Step 2: Convert to fraction form
    3,495.52/5,243.34 = 898.39/x
  3. Step 3: Cross multiply
    3,495.52x = 5,243.34 × 898.39
  4. Step 4: Simplify right side
    3,495.52x = 4,710,538.01
  5. Step 5: Solve for x
    x = 4,710,538.01/3,495.52
  6. Step 6: Final answer
    x = 1,347.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.