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Finding the Fourth Proportional to 5,782.92, 8,681.70 and 5,476.76

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Solution

The fourth proportional to 5,782.92, 8,681.70 and 5,476.76 is: 8,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.92 : 8,681.70 = 5,476.76 : x
  2. Step 2: Convert to fraction form
    5,782.92/8,681.70 = 5,476.76/x
  3. Step 3: Cross multiply
    5,782.92x = 8,681.70 × 5,476.76
  4. Step 4: Simplify right side
    5,782.92x = 47,547,587.29
  5. Step 5: Solve for x
    x = 47,547,587.29/5,782.92
  6. Step 6: Final answer
    x = 8,222.07

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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.