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Finding the Fourth Proportional to 5,869.60, 8,798.32 and 3,094.52

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Solution

The fourth proportional to 5,869.60, 8,798.32 and 3,094.52 is: 4,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.60 : 8,798.32 = 3,094.52 : x
  2. Step 2: Convert to fraction form
    5,869.60/8,798.32 = 3,094.52/x
  3. Step 3: Cross multiply
    5,869.60x = 8,798.32 × 3,094.52
  4. Step 4: Simplify right side
    5,869.60x = 27,226,577.21
  5. Step 5: Solve for x
    x = 27,226,577.21/5,869.60
  6. Step 6: Final answer
    x = 4,638.57

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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.