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Finding the Fourth Proportional to 6,590.83, 9,098.31 and 4,204.01

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Solution

The fourth proportional to 6,590.83, 9,098.31 and 4,204.01 is: 5,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.83 : 9,098.31 = 4,204.01 : x
  2. Step 2: Convert to fraction form
    6,590.83/9,098.31 = 4,204.01/x
  3. Step 3: Cross multiply
    6,590.83x = 9,098.31 × 4,204.01
  4. Step 4: Simplify right side
    6,590.83x = 38,249,356.50
  5. Step 5: Solve for x
    x = 38,249,356.50/6,590.83
  6. Step 6: Final answer
    x = 5,803.42

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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.