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Finding the Fourth Proportional to 3,869.10, 5,803.65 and 3,407.40

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Solution

The fourth proportional to 3,869.10, 5,803.65 and 3,407.40 is: 5,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.10 : 5,803.65 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    3,869.10/5,803.65 = 3,407.40/x
  3. Step 3: Cross multiply
    3,869.10x = 5,803.65 × 3,407.40
  4. Step 4: Simplify right side
    3,869.10x = 19,775,357.01
  5. Step 5: Solve for x
    x = 19,775,357.01/3,869.10
  6. Step 6: Final answer
    x = 5,111.10

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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.