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Finding the Fourth Proportional to 5,801.07, 8,702.57 and 1,904.57

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Solution

The fourth proportional to 5,801.07, 8,702.57 and 1,904.57 is: 2,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.07 : 8,702.57 = 1,904.57 : x
  2. Step 2: Convert to fraction form
    5,801.07/8,702.57 = 1,904.57/x
  3. Step 3: Cross multiply
    5,801.07x = 8,702.57 × 1,904.57
  4. Step 4: Simplify right side
    5,801.07x = 16,574,600.71
  5. Step 5: Solve for x
    x = 16,574,600.71/5,801.07
  6. Step 6: Final answer
    x = 2,857.16

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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.