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Finding the Fourth Proportional to 5,804.48, 8,695.38 and 4,636.86

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Solution

The fourth proportional to 5,804.48, 8,695.38 and 4,636.86 is: 6,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.48 : 8,695.38 = 4,636.86 : x
  2. Step 2: Convert to fraction form
    5,804.48/8,695.38 = 4,636.86/x
  3. Step 3: Cross multiply
    5,804.48x = 8,695.38 × 4,636.86
  4. Step 4: Simplify right side
    5,804.48x = 40,319,259.71
  5. Step 5: Solve for x
    x = 40,319,259.71/5,804.48
  6. Step 6: Final answer
    x = 6,946.23

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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.