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Finding the Fourth Proportional to 5,812.48, 8,702.74 and 4,059.24

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Solution

The fourth proportional to 5,812.48, 8,702.74 and 4,059.24 is: 6,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.48 : 8,702.74 = 4,059.24 : x
  2. Step 2: Convert to fraction form
    5,812.48/8,702.74 = 4,059.24/x
  3. Step 3: Cross multiply
    5,812.48x = 8,702.74 × 4,059.24
  4. Step 4: Simplify right side
    5,812.48x = 35,326,510.32
  5. Step 5: Solve for x
    x = 35,326,510.32/5,812.48
  6. Step 6: Final answer
    x = 6,077.70

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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.