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Finding the Fourth Proportional to 5,842.10, 8,764.55 and 1,946.54

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Solution

The fourth proportional to 5,842.10, 8,764.55 and 1,946.54 is: 2,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.10 : 8,764.55 = 1,946.54 : x
  2. Step 2: Convert to fraction form
    5,842.10/8,764.55 = 1,946.54/x
  3. Step 3: Cross multiply
    5,842.10x = 8,764.55 × 1,946.54
  4. Step 4: Simplify right side
    5,842.10x = 17,060,547.16
  5. Step 5: Solve for x
    x = 17,060,547.16/5,842.10
  6. Step 6: Final answer
    x = 2,920.28

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1.5x scale

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.