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Finding the Fourth Proportional to 6,045.71, 9,053.01 and 3,582.27

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Solution

The fourth proportional to 6,045.71, 9,053.01 and 3,582.27 is: 5,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.71 : 9,053.01 = 3,582.27 : x
  2. Step 2: Convert to fraction form
    6,045.71/9,053.01 = 3,582.27/x
  3. Step 3: Cross multiply
    6,045.71x = 9,053.01 × 3,582.27
  4. Step 4: Simplify right side
    6,045.71x = 32,430,326.13
  5. Step 5: Solve for x
    x = 32,430,326.13/6,045.71
  6. Step 6: Final answer
    x = 5,364.19

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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.