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Finding the Fourth Proportional to 5,698, 8,547.32 and 1,594.32

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Solution

The fourth proportional to 5,698, 8,547.32 and 1,594.32 is: 2,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 8,547.32 = 1,594.32 : x
  2. Step 2: Convert to fraction form
    5,698/8,547.32 = 1,594.32/x
  3. Step 3: Cross multiply
    5,698x = 8,547.32 × 1,594.32
  4. Step 4: Simplify right side
    5,698x = 13,627,163.22
  5. Step 5: Solve for x
    x = 13,627,163.22/5,698
  6. Step 6: Final answer
    x = 2,391.57

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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.