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Finding the Fourth Proportional to 5,378.99, 8,068.47 and 1,430.65

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Solution

The fourth proportional to 5,378.99, 8,068.47 and 1,430.65 is: 2,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.99 : 8,068.47 = 1,430.65 : x
  2. Step 2: Convert to fraction form
    5,378.99/8,068.47 = 1,430.65/x
  3. Step 3: Cross multiply
    5,378.99x = 8,068.47 × 1,430.65
  4. Step 4: Simplify right side
    5,378.99x = 11,543,156.61
  5. Step 5: Solve for x
    x = 11,543,156.61/5,378.99
  6. Step 6: Final answer
    x = 2,145.97

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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.