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Finding the Fourth Proportional to 6,590.47, 9,089.71 and 4,232.83

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Solution

The fourth proportional to 6,590.47, 9,089.71 and 4,232.83 is: 5,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.47 : 9,089.71 = 4,232.83 : x
  2. Step 2: Convert to fraction form
    6,590.47/9,089.71 = 4,232.83/x
  3. Step 3: Cross multiply
    6,590.47x = 9,089.71 × 4,232.83
  4. Step 4: Simplify right side
    6,590.47x = 38,475,130.57
  5. Step 5: Solve for x
    x = 38,475,130.57/6,590.47
  6. Step 6: Final answer
    x = 5,838.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.