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Finding the Fourth Proportional to 5,353.70, 8,030.14 and 1,458.41

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Solution

The fourth proportional to 5,353.70, 8,030.14 and 1,458.41 is: 2,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.70 : 8,030.14 = 1,458.41 : x
  2. Step 2: Convert to fraction form
    5,353.70/8,030.14 = 1,458.41/x
  3. Step 3: Cross multiply
    5,353.70x = 8,030.14 × 1,458.41
  4. Step 4: Simplify right side
    5,353.70x = 11,711,192.68
  5. Step 5: Solve for x
    x = 11,711,192.68/5,353.70
  6. Step 6: Final answer
    x = 2,187.50

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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.