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Finding the Fourth Proportional to 5,670.50, 8,504.93 and 1,510.13

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Solution

The fourth proportional to 5,670.50, 8,504.93 and 1,510.13 is: 2,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.50 : 8,504.93 = 1,510.13 : x
  2. Step 2: Convert to fraction form
    5,670.50/8,504.93 = 1,510.13/x
  3. Step 3: Cross multiply
    5,670.50x = 8,504.93 × 1,510.13
  4. Step 4: Simplify right side
    5,670.50x = 12,843,499.87
  5. Step 5: Solve for x
    x = 12,843,499.87/5,670.50
  6. Step 6: Final answer
    x = 2,264.97

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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.