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Finding the Fourth Proportional to 4,645.91, 6,970.03 and 1,359.05

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Solution

The fourth proportional to 4,645.91, 6,970.03 and 1,359.05 is: 2,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.91 : 6,970.03 = 1,359.05 : x
  2. Step 2: Convert to fraction form
    4,645.91/6,970.03 = 1,359.05/x
  3. Step 3: Cross multiply
    4,645.91x = 6,970.03 × 1,359.05
  4. Step 4: Simplify right side
    4,645.91x = 9,472,581.02
  5. Step 5: Solve for x
    x = 9,472,581.02/4,645.91
  6. Step 6: Final answer
    x = 2,038.91

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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.