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Finding the Fourth Proportional to 5,699.08, 8,547.90 and 3,385

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Solution

The fourth proportional to 5,699.08, 8,547.90 and 3,385 is: 5,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.08 : 8,547.90 = 3,385 : x
  2. Step 2: Convert to fraction form
    5,699.08/8,547.90 = 3,385/x
  3. Step 3: Cross multiply
    5,699.08x = 8,547.90 × 3,385
  4. Step 4: Simplify right side
    5,699.08x = 28,934,641.50
  5. Step 5: Solve for x
    x = 28,934,641.50/5,699.08
  6. Step 6: Final answer
    x = 5,077.07

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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.