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Finding the Fourth Proportional to 6,032.91, 9,045.05 and 2,957.07

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Solution

The fourth proportional to 6,032.91, 9,045.05 and 2,957.07 is: 4,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.91 : 9,045.05 = 2,957.07 : x
  2. Step 2: Convert to fraction form
    6,032.91/9,045.05 = 2,957.07/x
  3. Step 3: Cross multiply
    6,032.91x = 9,045.05 × 2,957.07
  4. Step 4: Simplify right side
    6,032.91x = 26,746,831.22
  5. Step 5: Solve for x
    x = 26,746,831.22/6,032.91
  6. Step 6: Final answer
    x = 4,433.49

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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.